Question

Find the measure of Angle R if a = 9 square root 2 and b = 18 square root 2.
Please help!!

Answer 1

Answer: ∠TRa = 30°, ∠aRA = 90°, ∠TRA = 120°

Explanation:

I'm not sure if you need the angle of the left triangle only (= 30°)

or if you need the the triangle plus the rectangle (= 120°)

Left Triangle (∠TRa)

The hypotenuse is twice the base so it is a 30° - 60° - 90° triangle

where the base corresponds to the 30° angle.

Rectangle (∠aRA)

A rectangle has four right angles --> four 90° angles.

Angle Sum Theorem

∠TRA = ∠TRa + ∠aRA

= 30° + 90°

= 120°