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7 votes
Could someone help me solve this please? With explanation? ​

Could someone help me solve this please? With explanation? ​-example-1
User TDSii
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2 Answers

14 votes
14 votes
Ok done. Thank to me :>
Could someone help me solve this please? With explanation? ​-example-1
User Kumar Reddy
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2.6k points
22 votes
22 votes

Answer:

x=109 degrees

Explanation:

By alternate interior angles, the measure of angle ADE is the same as that of EAB, both of which are 38.

Because ADE is an isosceles triangle, the measure angle EAD is equal to that angle EDA; let that measure be x.

Because the angles of a triangle add up to 180, x+x+38=180 -> 2x+38=180 -> 2x=142 -> x=71

That means that angle EDA is 180 degrees

Because x is supplementary to angle EDA, the measure of angle x is 180-71=109 degrees

User Justin Lange
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