Question

PLEASE HELP ME AND SHOW YOUR WORK

Answer 1

Given :-

m∠WRM = 5x - 13

m∠KRW = 2x - 5

m∠KRM = 37°

As m∠KRW and m∠KRM are forming m∠WRM , their sum will be equal to the measure of m∠WRM .

Which means :-

`2x - 5 + 37 = 5x - 13`

`- 5 + 37 = 5x - 13 - 2x`

`- 5 + 37 = 3x - 13`

`32 = 3x - 13`

`3x = 32 + 13`

`3x = 45`

`x = (45)/(3)`

`\color{olive}\implies\color{hotpink}x = 15`

m∠KRW :-

`= 2 * 15 - 5`

`= 30 - 5`

`\color{olive}\implies \: \color{hotpink}m∠KRW= 25°`

Given :-

`\color{olive}\implies \: \color{hotpink}m∠KRM = 37°`

m∠WRM :-

`= 5 * 15 - 13`

`= 75 - 13`

`\color{olive}\implies \:\color{hotpink} m∠WRM = 62°`

As the sum of m∠KRW and m∠KRM add upto the measure of m∠WRM (25 + 37 = 62) we have found out the correct measure of the angles .

Therefore , the measure of :-

`\color{olive}\implies \:\color{hotpink} m∠WRM = 62°`

Answer 2

∠WRM = 62

Explanation:

∠WRM = ∠WRK + ∠KRM

5x - 13 = 2x - 5 + 37 {Combine like terms}

5x - 13 = 2x + 32 {Add 13 to both sides}

5x = 2x + 32 + 13

5x = 2x + 45 {Subtract 2x from both sides}

5x - 2x = 45

3x = 45 {Divide both sides by 3}

x = 45/3

x = 15

∠WRM = 5x - 13

= 5*15 - 13

= 75 - 13

∠WRM = 62