Question

In triangle RST, ∠S is 10⁰greater than ∠R and ∠T is 5⁰less than ∠S, find the

three angles of the triangle.

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Answer 1

Answer:

Step-by-step explanation:

Measure of ∠R = 55°

Measure of ∠S = x+10 =55+10 = 65°

Measure of ∠T = x+5= 55 + 5 =60°

Step-by-step explanation:

Since we have given that

RST is a triangle,

Angle S is 10°greater than angle R and

angle T us 5° less than Angle S

Let the measure of ∠R be 'x'.

Let the measure of ∠S be 'x+10'

Let the measure of ∠T be 'x+10-5'='x+5'

As we know that "Sum of all angles in triangle is 180°.

So, it becomes,

∠R + ∠S + ∠T =180°

now refer to the picture then see what ive written below

So, Measure of ∠R = 55°

Measure of ∠S = x+10 =55+10 = 65°

Measure of ∠T = x+5= 55 + 5 =60°