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Find angle b + angle c
Angle b + angle e
Angle e + c

Find Angle B Angle C Angle B Angle E Angle E C class=

Sagot :

akposevictor

Applying the vertical angles and triangle sum theorem, we have:

angle b + angle c = 56 + 56 = 112°

angle b + angle e = 56 + 12 = 68°

angle e + angle c = 12 + 56 = 68°

How to Apply the Vertical Angles Theorem and the Angles on a Straight line Theorem?

Based on the angles on a straight line theorem, we have the following:

e + 44 + 124 = 180

e + 168 = 180

e + 168 - 168 = 180 - 168

e = 12°.

Each interior angle in a rectangle is 90 degrees. Therefore:

b + 34 = 90

b = 90 - 34

b = 56°.

a = 46° based on the vertical angles theorem

d + 102 = 180 [angles on a straight line theorem]

d = 180 - 102

d = 78°

c = 180 - a - d [triangle sum theorem]

Substitute

c = 180 - 46 - 78

c = 56°

Learn more about the vertical angles theorem on:

https://brainly.com/question/24839702

#SPJ1

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