Question

What is the measure of angle a

Answer 1

Review the meaning of "straight angles."

Here 110 and A are "straight angles," and so 110 + A = 180 (degrees).

Then A = 70 degrees.

Answer 2

m∠A = 70°

Explanation:

The given figure is nothing but parallel lines cut by a transversal.

We use property of transversal to find the value of angle A.

Here ∠A and 110° are pair of interior angles on the same side.

The pair of interior angles on the same side add upto 180 degrees.

Therefore, ∠A + 110 = 180

Subtract 110 from both sides, we get

∠A + 110 - 110 = 180 -110

∠A = 70°

m∠A = 70°