Question

Parallelogram EASY is drawn with diagonal ES. The measure of Angle AES is 40 degrees and the measure of Angle Y is 110

degrees.
Find the measure of Angle A, Angle YEA, Angle ESA, and Angle ESY.

Answer 1

Explanation:

Givens

Parallelogram EASY with diagonal ES

<AES = 40

<Y = 110

Solution

<AES = 40 GIVEN

<ESY = 40 Z THEOREM OF A PRALLELOGRAM

<A = <Y PROPERTY OF A PARALLELOGRAM

<A = <110 <A = 110 BECAUSE <Y = 110

<YES = 180 - <Y -<ESY EVERY TRIANGLE HAS 180o

<YES = 180 - 110 - 40 SIMPLIFY

<YES = 30

<YEA = <YES + <AES WE KNOW BOTH ANGLES ON THE RIGHT.

<YEA = 30 + 40 COMBINE

<YEA = 70

You could do <YEA by noting that consecutive angles of a Parallelogram equal 180