Question

if ray OR is the angle bisector of POQ, and m POR = 38° what is the m POQ

Answer 1

Step-by-step explanation:

if por = 38°

then, as por is the half of poq because or is the angular bisector of poq.

so, poq = 2 por = 2×38 = 76°.

hope it is helpful......

Answer 2

The measurement of POQ is 76°

Given:

Ray OR is the angle bisector of POQ, and m POR = 38°

To find:

The measurement of POQ

Solution:

Given Ray OR is the angle bisector of POQ

the OR will divide the POQ into two equal angles

[ Observe the given figure ]

therefore, ∠POR = ∠ROQ

⇒ From given data ∠POR = 38°

⇒ The measurement of ∠ROQ = 38°

The measurement of POQ = ∠POR + ∠ROQ

⇒ ∠POQ =  38° + 38° = 76°

The measurement of POQ is 76°

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