Question

Help please!!! Find the measure of A in the picture below.

Answer 1

Explanation:

If you draw in BD, you can show that triangle BCD = triangle BAD by SSS

That means that <A = <C parts of congruent parts are congruent.

<A + <C + 115 + 71 = 360

<A + <C + 186 = 360 All convex quadrilaterals have 4 interior angles that add to 360 degrees

<A + <C = 360 - 186

<A + <C = 174

So call <A and < C = x

x + x = 174

2x = 174

x = 174 / 2

x = 87

<A = 87