3. Find the value of x and the measure of the missing angle in thefigure below.66°(4x - 4)^

7

Step-by-step explanation:

66+(4x-4)=90

66+4x-4=90

62+4x. =90

4x. =28

x. =7

Step-by-step 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