(05.05 mc) what are the measures of angles a, b and c? explain your answer

The measure of angle a is 35 degrees, b is 55 degrees and c is 110 degrees.

what are the measures of angles a, b and c?

Angles a and 35 are vertical angles and vertical angles are equal.

<a = 35

We have a triangle with a, b, and a right angle.  

Triangles have angles that add to 180.

<a + <b + 90 = 180

35 + <b + 90 =180

125 + < b = 180

<b = 180-125

<b = 55

Angle c and 70 form a straight line and straight lines are 180 degrees.

<c+70 = 180

<c = 180-70

<c = 110

Hence, the measure of angle a is 35 degrees, b is 55 degrees and c is 110 degrees.

To know more about Angles click the link given below.

link

Check the picture below.

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.