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*seed attachment for diagram
Answer:
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°
