Question

What is the measure of angle "A"?

Answer 1

`<A=106`

Explanation:

The given figure is an isosceles trapezoid, this means that the two non-parallel sides in the trapezoid are congruent. One of the properties of an isosceles triangle is that opposite angles are supplementary. This means that the sum of angles opposite each other in an isosceles trapezoid is (180) degrees. One can apply this here by stating the following,

`<A+<C=180`

Substitute,

`<A+74=180`

Inverse operations.

`<A=106`