Mathematics High School

The measure of angle R is 3 degrees less than twice the measure of angle S. If the sum of the measures of the two angles is 72 degrees, find the measure of each angle.

Answers

Answer 1
2x-3+x=72
3x-3=72
3x=75
X=25
R=47 S=25
Answer 2

Measures of the given angles:

∠S = 25° and ∠R = 47°

What is an angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

There are two main parts related to an angle - the arms and the vertex.

Given,

Measure of angle R is 3 degrees less than twice the measure of angle S

⇒ 2∠S - ∠R = 3°        

⇒ ∠R = 2∠S - 3°         ------(a)

Sum of R and S

⇒ ∠R + ∠S = 72°      

Substituting ∠R in terms of ∠S in above equation from equation (a)

2∠S - 3° + ∠S = 72°

3∠S - 3° = 72°

3∠S = 72° + 3°

3∠S = 75°

∠S = 75°/3

∠S = 25°

Substituting value of ∠S in equation (a)

∠R = 2 × 25° - 3°

∠R = 50° - 3°

∠R = 47°

Hence, ∠S = 25° and ∠R = 47° are the measures of given angles.

Learn more about angles here:

https://brainly.com/question/28451077

#SPJ5

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