Question

6. Find the value of x, y and z in each of the following figures if I || m and a || b.​

Answer 1

Answer:

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Answer 2

x = 74°

y = 37°

z = 17°

Step-by-step explanation:

l || m and bd is transversal

x + 106° = 180° ( angles on same side of transversal )

x = 180° - 106°

x = 74°

2y = x ( corresponding angles)

2y = 74°

y = 74/2

y = 37°

angle BQP = x ( vertically opposite angles)

angle BQP = 74°

a || b and PQ is transversal

4z + 6° = 74°

4z = 74 - 6

4z = 68°

z = 68/4

z = 17°

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