PRACTICE QUESTIONS ON LINES AND ANGLES WORKSHEET

Problem 1 :

If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.

Problem 2 :

In a triangle ∠ABC, ∠A + ∠B = 110^º, ∠C + ∠A = 135^º, Find ∠A.

Problem 3 :

In the given figure, what value of x will make AOB a line ?

Problem 4 :

In the given figure, AB//ED, find x.

Problem 5 :

Determine the value of x in the given figure if AB||CD||EF

Problem 6 :

Determine the value of x in the given figure if AB||CD||EF

Problem 7 :

In a triangle if 4∠A = 3∠B = 12∠C, find all the angles.

Problem 8 :

The angles of a triangle are in the ratio 3 : 7 : 8. Find the angles of the triangle.

Problem 9 :

In the given figure find the value of x.

Answer Key

1) So, the measure of the angle is 30^º.

2) ∠A = 65^º, ∠B = 45º, ∠C = 70^º

3) x = 30

4) x^º = 26^º

5) x = 110

6) x = 140

7) ∠A = 67.5, ∠B = 90, ∠C = 22.5

8) So, the angles of the triangle is 30^º, 70^º and 80^º.

9) x = 109^º