Question

Find the value of x by filling in the blanks in the provided statement-reason solution. N = MP PLEASE HELP QUICKLYYY

Answer 1

Picture relating to the question can be found in the picture attached below.

Answer:

Angle DCA = Angle CAB

Angle A + Angle B + Angle C = 180°

18 + 3x + 3x = 180

27°

Step-by-step explanation:

For 1:

Angle DCA = Angle CAB (Alternate angles are equal)

Angle DCA = 18°, Hence, CAB = 18°

2)

Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)

3.)

Angle A = 18°

Angle B = 3x

Angle C = 3x

18° + 3x + 3x = 180°

4.)

18 + 3x + 3x = 180

18 + 6x = 180

6x = 180 - 18

6x = 162

x = 162 / 6

x = 27°