Philip (8x + 12°

(55 - 3x)"

Matt

(10x + 23)

George

What is the measure of the angle at George's position?

O 60

370

60°

O 830

*seed attachment for diagram

83°

Step-by-step explanation:

Given:

Philip = (8x + 12)°

Matt = (55 - 3x)°

George = (10x + 23)°

Required:

Measure of angle at George's position

SOLUTION:

Find the value of x

(8x + 12)° + (55 - 3x)° + (10x + 23)° = 180° (sum of the interior angles of a ∆)

8x + 12 + 55 - 3x + 10x + 23 = 180

Add like terms

15x + 90 = 180

15x = 180 - 90 (subtraction property of equality)

15x = 90

x = 90/15 (division property of equality)

x = 6

✔️George = (10x + 23)°

Plug in the value of x

George = 10(6) + 23 = 60 + 23

= 83°

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35

greater than one

step-by-step explanation: