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30 votes
30 votes
PLEASE HELP ASAP
WILL GIVE BRAINELST
SOLVE FOR THE INDICATED ANGLE

PLEASE HELP ASAP WILL GIVE BRAINELST SOLVE FOR THE INDICATED ANGLE-example-1
User Yosuke
by
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1 Answer

18 votes
18 votes

Answer:

111°

Explanation:

Triangle at right:

2 congruent sides and 2 congruent opposite angles at the top.

The opposite angles (at the top) to the congruent sides, both measure 66°.

The angle at the bottom measures 180 - 66 - 66 = 48.

The triangle to the left has 1 angle which is a complement to the 48° angle (at the bottom). The bottom angle of the triangle at left measures 90 - 48 = 42. Because of the 2 congruent sides the triangle at left has 2 congruent angles at the top.

42 + y + y = 180

y = 69

The interior angle of the left triangle near x measures 69°.

x is a supplement of the 69° angle.

x = 180 - 69

x = 111

User Matt The Ninja
by
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