Question

In triangle RST,Angle S is 10°greater than angle R and angle T us 5° less than Angle S find the three angles

Answer 1

Step-by-step explanation:

angleR=angle S+10 ,angleT=angle S-5 , so s=r-10 and substitute s in T=s-5 then T=R-10-5 then T=R-15

Answer 2

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°

$x+x+10+x+5=180^\circ\\\\3x+15=180^\circ\\\\3x=180-15\\\\3x=165\\\\x=\dfrac{165}{3}\\\\x=55^\circ$

So, Measure of ∠R = 55°

Measure of ∠S = x+10 =55+10 = 65°

Measure of ∠T = x+5= 55 + 5 =60°

# learn more:

In a triangle rst r=80 and s=t find the measure of each of the equal angles of the triangle​

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