The measures of the angles of A ABC are given by the expressions in the table. Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=

m∠A = 115°

m∠C = 50°

Step-by-step explanation:

By triangle sum theorem,

Sum of measures of all interior angles of a triangles equals to 180°.

m∠A + m∠B + m∠C = 180°

By substituting the values of the angles from the given table,

(4x - 13) + 15 + (x + 18) = 180

(4x + x) + (-13 + 15 + 18) = 180

5x + 20 = 180

5x = 180 - 20

x =

x = 32

m∠A = (4x - 13)° = 4(32) - 13

                          = 115°

m∠C = (x + 18)° = 32 + 18

                         = 50°