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Answer:
Supplement of smaller angle is 120°.
Step-by-step explanation:
We write 'angle' as the variable x.
A supplementary angle totals of 180° and a complementary angle totals of 90°.
We get an equation by - x on both sides because it says the sum is equal to 180°/90°.
180° - x is for the supplementary angle.
90° - x is for the complementary angle.
Since it says 4 times the complement, we multiply the complementary angle with 4 and make it into an equation-
180° - x = 4 × (90° - x)
180° - x = 360° - 4x
3x = 180°
x = 60°
We insert the x into the two 180° - x and 90° - x -
Supplementary angle: 180° - 60° = 120°
Extra:
Complementary angle: 90° - 60° = 30°