Answer:
r = 15
Step-by-step explanation:
Given < (6r - 4)° and < 94°, which are supplementary angles with measures that add up to 180°:
We can solve for the value of r by establishing the following equation:
m < (6r - 4)° + m < 94° = 180°
6r - 4 + 94° = 180°
Add like terms:
6r + 90° = 180°
Subtract 90° from both sides:
6r + 90° - 90° = 180° - 90°
6r = 90°
Divide both sides by 6 to solve for r :
6r°/6 = 90°/6
r = 15
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