Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117.
Solution:
If m∠1 = (9x)
If p is parallel to q i.e. p ∥ q then,
m∠1 = m∠3 (by the condition called corresponding angles)
m∠3 = 117
9x = 117
x = 13
Alternatively:
Since p ∥ q
∠1 + ∠4 = 180 (internal angles)
9x + ∠4 = 180
∠3 + ∠4 =180 (supplementary angles)
m∠3 = 117
Therefore
∠4 = 180 - 117 = 63
9x + ∠4 = 180
9x = 180 - 63 = 117
x = 117/9 = 13
Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117.
Summary:
The value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117 is 13.