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The two angles are 158o and 22o

Two supplementary angles add up to 180o

Let the smaller angle be x and the larger y, then:

y = 7x + 4o

x + y = 180o

→ x + (7x + 4o) = 180o

→ 8x = 176o

→ x = 22o

← y = 7 x 22o + 4o

= 158o

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Q: The larger of two supplements exceeds 7 times the smaller by 4 degrees. Find the measure of the larger angle?
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