Question

What is the measure of ∠F?
What is the measure of ∠R?
What is the measure of ∠C?

Answer 1

C= 43
I'm not sure what the measure of R is, but I think the measure of F is 55°. I'm not 100% sure, which I feel terrible about, but I am positive that C= 43
:)

Answer 2

Answer: The measure of ∠F=55°

The measure of ∠R=36°

The measure of ∠C=43°

Explanation:

• The angle sum property of triangle say that the sum of all the interior angles of a triangle is 180 degrees.

Therefore By using angle sum property in Δ RST

∠R+∠S+∠T=180°

⇒∠R+76°+68°=180°

⇒∠R=180°-144°

⇒∠R=36°

In Δ CDE, where ∠C is a right angle.

∠C+∠D+∠E=180°

⇒∠C+90°+47°=180°

⇒∠C=180°-137°

⇒∠C=43°

In ΔDEF

∠D+∠E+∠F=180°

⇒104°+21°+∠F=180°

⇒∠F=180°-125°

⇒∠F=55°