EQUATION PRACTICE WITH ANGLE ADDITION WORKSHEET

Find the value of x.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Find ∠JKX

Solution

Problem 9 :

Solution

Problem 10 :

Solution

Problem 11 :

The angle x in the following figure

equation-practice-angle-addition-q1

(a) 58°        (b) 59°       (c) 57°      (d) 56˚

Solution

Problem 12 :

In the following figure, find x if BA || CE.

equation-practice-angle-addition-q2.png

(a) 60°      (b) 40°     (c) 45°     (d) 65°

Solution

Problem 13 :

Two angles of a triangle are of measures 75˚ and 35˚. Find the measures of the third angle.

Solution

Problem 14 :

Each of the two equal angles of a triangle is twice the third angle. Find the angles of the triangle.

Solution

Answers

(1)  x = 70

(2)  x = 12.5

(3)  x = 23

(4)  x = 10

(5)  x = -23

(6)  x = 12

(7)  ∠B = 44

(8)  ∠JKX = 137

(9)  x = 12

(10)  x = 10 and y = 25

(11)  option a is correct, 58

(12)  the value of x is 65. Option d is correct.

(13)  the missing angle is 70.

(14)   the required angles are 36, 72 and 72.

Find the value of ‘’x’’.

Problem 1 :

triq1

Solution

Problem 2 :

triq2

Solution

Problem 3 :

triq3

Solution

Problem 4 :

triq4

Solution

Problem 5 :

triq5

Solution

Problem 6 :

triq6

Solution

Problem 7 :

triq7

Solution

Problem 8 :

A triangle whose one angle is more than 90˚ is called ------------

Solution

Problem 9 :

A triangle whose all the sides are of different length is called ------------

Solution

Problem 10 :

The sum of the lengths of the sides of a triangle is called its ----------

Solution

Problem 11 :

The sum of the lengths of two sides of a triangle is always ------------than the third side.

Solution

Problem 12 :

An exterior angle and the adjacent interior angle form a ------------.

Solution

Problem 13 :

The sum of all the angles of a triangle is -----------

Solution

Problem 14 :

In a right angled triangle the side opposite to the right angle is called ------------

Solution

Problem 15 :

A triangle can not have more than one -------- angle.

Solution

Problem 16 :

Find the value’of x in given figure.

sum-of-angle-of-tri-q1

(a) 180°      (b) 55°       (c) 90°     (d) 60°

Solution

Problem 17 :

An airplane leaves from Miami and travels around the Bermuda Triangle. What is the value of x?

sum-of-angle-of-tri-q2.png

a) 26.8      b) 27.2      c) 54      d) 64

Solution

Answers

1)  the value of x is 75º.

2)   the value of x is 63º.

3)   the value of x is 20º.

4)   the value of x is 85º.

5)  the value of x is 30º.

6)   the value of x is 29º.

7)  the value of x is 27º.

8)  If one of the angle which is more than 90 degree then it is called obtuse triangle.

9)  if all sides are different, it is called scalene triangle.

10)  The sum of lengths of all sides of a triangle is called its perimeter of triangle.

11)  Using triangle inequality theorem, the sum of lengths of two sides of a triangle is always greater than the third side.

12)  An exterior angle and the adjacent interior angle form a linear pair.

13)  The sum of all the angles of a triangle is 180 degree.

14)  The side which is opposite to the right angle is called hypotenuse.

15)  A triangle may have more than one obtuse angle.

16)   the value of x is 60 degree.

17)  the value of x is 54.

Problem 1 :

Find the value of x.

exteriorangleoftriangleq1

Solution

Problem 2 :

exteriorangleoftriangleq2

Solution

Problem 3 :

exteriorangleoftriangleq3

Solution

Problem 4 :

exteriorangleoftriangleq4

Solution

Problem 5 :

Find mACB, mBCD and mDCE.

exteriorangleq5.png

Solution

Problem 6 :

Find mK, mL, mKML, m∠LMN.

exteriorangleq6.png

Solution

Problem 7 :

Find the measure of the exterior angle. Solve for z.

exterior-angle-theorem-q1

Solution

Problem 8 :

Find the measures of the exterior angles of each polygon. Solve for x.

exterior-angle-theorem-q2.png

Solution

Problem 9 :

Find the measures of the exterior angles of each polygon. Solve for z.

exterior-angle-theorem-q3.png

Solution

Problem 10 :

Find the measures of the exterior angles of the polygon.

exterior-angle-theorem-q4.png

Solution

Problem 11 :

In FGH, m∠F = 42 and an exterior angle at vertex H has a measure of 104. What is m∠G?

a) 34      b) 62     c) 76     d) 146

Solution

Problem 12 :

In the diagram below of ABC, side BC is extended to point D, m∠A = x, m∠B = 2x + 15, and m∠ACD =5x + 5.

exterior-angle-theorem-q5.png

What is m∠B?

a) 5       b) 20     c) 25       d) 55

Solution

Answers

1)  x = 39

2)  x = 10

3)  x = 65

4)  x = 145

5) ∠BCD = 101, ∠ECD = 35, ∠ACB = 44

6) 

x = 30

∠L = 3x = 90

∠K = 2x = 60

∠LMN = 150

7)  the value of z is 10.

8)   the value of x is 92.

9)  the value of z is 105.

10) the value of x is 45.

11)  m∠G = 62

12)  m∠B is 25. Option c is correct.

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