Question

find the measure of an angle which is 36 degree more than its complement​

Answer 1

Answer:

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Step-by-step explanation:

Let the angle be x°.Then its complement angle is (90-x°

x=(90-x)+36

x=90-x+36

X+x=90+36

2x=126

x=126/2=63

Hence, the measure of the angle is 63°.

Answer 2

Let x be the one angle.

So, the complement of x=90

o

−x.

Given, an angle is 36

o

more than its complement.

⇒ x=(90

o

−x)+36

o

⇒ x=90

o

−x+36

o

⇒ x+x=126

o

⇒ 2x=126

o

⇒ x=

2

126

o

⇒ x=63

o

.

Therefore, complementary of x,

=90

o

−x

=90

o

−63

o

=27

o

.

Hence, the required angle is x=63

o

.