Question

The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.
Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.

Part B
What is the measurement of angle G?

Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.

Part D
What is the measurement of angle C?

Answer 1

Answer:

Part A) g + 30 + 90 = 180

Part B) G = 60 degrees

Part C) c + 60 = 180

Part D) C = 120 degrees

Step-by-step explanation:

Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.

g + f + e = 180

g + 30 + 90 = 180

Part B: g + 30 + 90 = 180

g + 120 = 180

g = 60

Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.

c + g = 180

c + 60 = 180

Part D: c + 60 = 180

c = 120