Question

In ABC, the sum of the measures of Angle A and angle B is 47°. What is the measure of Angle C ?

Answer 1

∠
A
=
32
∘

∠
B
=
96
∘

∠
C
=
52
∘
Step-by-step explanation:
In a triangle, the three interior angles always add up to 180°:
Let
∠
A
=
x

⇒
∠
B
=
3
x

⇒
∠
C
=
x
+
20
∠
A
+
∠
B
+
∠
C
=
180
∘

⇒
x
+
3
x
+
x
+
20
=
180

⇒
5
x
+
20
=
180

⇒
5
x
=
160

x
=
32
Therefore,
∠
A
=
x
=
32
∘

∠
B
=
3
x
=
3
⋅
32
=
96
∘

∠
C
=
x
+
20
=
32
+
20
=
52
∘

Answer 2

∠ C = 133°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180° ( substitute A + B = 47° )

47° + ∠ C = 180° ( subtract 47° from both sides )

∠ C = 133°