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I need help please and thank you

I need help please and thank you-example-1
User Charde
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1 Answer

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m∠8 = 78°

Solution:

Given Line a is parallel to line b.

Measure of ∠2 = 78°

Let us first find the measure of ∠4.

Vertically opposite angles are equal.

⇒ m∠2 = m∠4

m∠4 = 78°

We know that if a and b are parallel line cut by a transversal, then the corresponding angles on the same side of the transversal are equal.

Here, ∠4 is the corresponding angle of ∠8.

⇒ m∠4 = m∠8

∴ m∠8 = 78°

Hence, the measure of ∠8 is 78°.

User Joe Inner
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