Consider the measures of two supplementary angles (4a + 3)° and (a −13) °. What is the measure of the larger angle?
a) 25°
b) 38°
c) 139°
d) 155°
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Answer:
(4a + 3) ° + (a-13)° = 180° => 5a -10= 180° => a = 34°
Larger angle = 4×34+3 = 136+3° = 139°
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