Written Response What are the measures of Angles a, b, and c? Show your work and explain your answers.

<a = 35°

<b = 55°

c = 110°

Step-by-step explanation:

Angle a:

<a = 35° (vertical angles are congruent)

Angle b:

Angles of a triangle add up to 180 degrees so to find b, we'll subtract rest of the angles from 180 degrees.

<b = 180-90-35

<b = 55°

Angle c:

c+ 70 = 180 (Angles on a straight line)

c = 180-70

c = 110°

A= 35, B= 55, C= 110

Step-by-step explanation:

A is 35 degrees since it is the opposite angle of the 35 degree angle.

B can be found by subtracting 90 and 35 from 180

A triangle has 180 degrees in total so in order to find b, subtract the right angle (90) and angle a (35). 180-90-35 = 55 so b is 55 degrees

C is supplementary to the 70 degree angle (meaning that their sum is 180)

180- 70 is 110, C is equal to 110 degrees

step-by-step explanation:

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