Question

Find the value of x and the measures of the missing angles​

Answer 1

Explanation:

m∠X + m∠Y + m∠Z = 180 {angle sum property of triangle}

3x + 5 + 40 +4x - 5 = 180

3x + 4x + 5 + 40 -5 = 180 {Combine like terms}

7x + 40 = 180 { subtract 40 from both sides}

7x = 180 - 40

7x = 140

x = 140/7

x = 20

m∠X = 3x + 5

= 3*20 + 5

= 60 + 5

m∠X = 65

m∠Z = 4x - 5

= 4*20 - 5

= 80 - 5

m∠Z = 75