Question

Find the measure for angles y and z. If angle x has a measure of 60° and the measure of angle y is 15° more than twice the measure of angle z. Write a system of equations.

Answer 1

Answer:

x = 60°, y = 85°, z = 35°

Step-by-step explanation:

(assuming that angles x, y, and z are the interior angles of a triangle)

System of Equations:

x = 60,

y = 2z + 15

x + y + z = 180

Substitute x for 60 and y for (2z + 15) in the third equation.

60 + (2z + 15) + z = 180

75 + 3z                 = 180

3z                         = 105

z                            = 35

Find y by plugging in 35 for z.

y = 2 × (35) + 15

y = 85