Question

Board 1

C
(3x + 16)°
7
(5x - 54)
Board 2
Enter the measure of ZC.

Answer 1

59°

Explanation:

From the question given, we obtained the following:

C + (3x + 16) = 180 (sum of angle on a straight line)

5x – 54 = 3x + 16 (Altanate angles are equal)

Next, we shall determine the value of x.

This can be obtained as follow:

5x – 54 = 3x + 16

Collect like terms

5x – 3x = 16 + 54

2x = 70

Divide both side by the coefficient of x i.e 2

x = 70/2

x = 35

Finally, we shall determine the value of C as shown below:

C + 3x + 16 = 180

But, x = 35

C + 3(35) + 16 = 180

C + 105 + 16 = 180

C + 121 = 180

Collect like terms

C = 180 – 121

C = 59°

Therefore, the value of C is 59°