Question

Angle a and b are complementary angles. If a=3x + 9 and b= x-11, find the measure of A.

Answer 1

x= 11
∘

Explanation:
Complimentary angles sum up to
90
∘
.
Hence
A
+
B
=
90
∘
.
∴
(
3
x
−
8
)
+
(
5
x
+
10
)
=
90

∴
x
=
90
−
10
+
8
8
=
11
∘
.