FIND MISSING LENGTH AND ANGLES IN ISOSCELES TRAPEZIUM WORKSHEET

Find the value of the variable in each isosceles trapezoid.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Answer Key

1)  x = 12

2)  x = 15

3)  x = 15

4)  x = 3

5)  x = 4

6)  x = 1

Find the measurement of the angle indicated for each trapezoid.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Given isosceles trapezoid 𝐴𝐵𝐶𝐷, 𝐵𝐶 ∥ 𝐴𝐷. If 𝑚 < 𝐴 = 3(2x − 7) and 𝑚 < 𝐶 = 4x + 1, find the value of x. Find the measure of all of the angles.

Solution

Problem 7 :

Find ∠V

Solution

Problem 8 :

Find ∠M

Solution

Problem 9 :

Isosceles trapezoid ABCD with BC ||AD. If mA = 4x+20 and mD = 2x+38, find mA, mB, mC, and mD.

Solution

Problem 10 :

In isosceles trapezoid ABCD, BC||AD. The measure of ADC = 4x+20 and the measure of DAB = 8x - 20. Find the value of x, ADC, DAB, BCD, and ABC.

Solution

Answer Key

1)  ∠JKL = 145°

2)  x = 0

3)  x = 9

4)  x = 6

5)  x = 9

6)  x = 11

7)  ∠V = 104

8)  ∠M = 80

9)  x = 9

10)  ∠ADC = 60

∠DAB = 60

∠BCD = 120

∠ABC = 120

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