Question

This question is 11 points

Answer 1

Angle A: 60°

Angle B: 55°

Angle C: 65°

Explanation:

180° = 65° + x + (x-5)

Subtract 65° from both sides

115° = x+(x-5)

115° = 2x-5

Add 5 to both sides

120° = 2x

Divide both sides by 2

x = 60°

Angle A: 60°

Angle B: 55°

Angle C: 65°

Answer 2

A = 60

B = 55

C = 65

Explanation:

The sum of the angles of a triangle is 180

A + B+C = 180

x+ x-5 + 65 = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x= 180-60

2x= 120

Divide by 2

2x/2 = 120/2

x= 60

A = 60

B = 60-5= 55

C = 65