Activity
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°. 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 an equation that you can use to solve for g.
Answer:
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Explanation:
The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.