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cluponka [151]
3 years ago
6

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

Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0
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
:)
aleksandr82 [10.1K]3 years ago
6 0

Answer: The measure of ∠F=55°

The measure of ∠R=36°

The measure of ∠C=43°

Step-by-step explanation:

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

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°

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