Question

What are the measures of Angles a, b, and c? Show your work and explain your answers. 25 points

Answer 1

Answer:

a=40

b=50

c= 115

Step-by-step explanation:

The first angle we will find is angle c

65 and angle c make a straight line so they add to 180

c+65 = 180

Subtract 65 from each side

c+65 -65 =180-65

c = 115

Angle a and 40 are vertical angles

Vertical angles are equal

angle a = 40

The sum of the angles in a triangle are equal to 180

a+b+ right angle = 180

40+ b + 90 = 180

130 +b = 180

Subtract 130 from each side

130-130+b = 180-130

b= 50