Recall that two angles are complementary if the sum of their measures is 90 degrees°. find the measures of two complementary angles if one angle is 20 degrees° more than fourfour times the other angle.
Mathematics · High School · Thu Feb 04 2021
llm
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Let one angle be x°, another angle be y°
(according to the question, y= 4x + 20° ….(1)
x°+y° = 90 ( complimentary angle)
x+ 4x + 20° = 90°
5x +20 = 90°
5x =( 90–20)°
5x = 70°
Dividing both sides by 5, we get
5x/5 = 70/5
x= 14°
Now, putting value of x in equation (1)
y = 4x + 20
y = 4*14 + 20
y = 56 + 20
y = 76°
Thus, two complementary angles ae 14° and 76°.