asked 93.7k views
1 vote
Find the measure of angle w above.
Responses
A 73°
B 67°
C 64°
D 63°

Find the measure of angle w above. Responses A 73° B 67° C 64° D 63°-example-1

1 Answer

4 votes

Answer:

B

Explanation:

the sum of the angles in a triangle = 180°

in the lower triangle

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (41 + 78)° = 180° - 119 = 61°

the lower right angle in the upper triangle is vertically opposite the third angle in the lower triangle and are congruent , that is both 61°

using the sum of the angles in a triangle = 180° , then

w = 180° - (61 + 52)° = 180° - 113° = 67°

answered
User Louis Go
by
7.9k points
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