Question

Pls help me with this problem​

Answer 1

67⁰

Explanation:

According to the Triangle Sum Theorem, all three angles sum up to 180⁰.

<A + <B + <C = 180⁰

You are given the two angles. To find the third or the missing angle you will use the triangle sum thereom.

<A + <B + <C = 180⁰

90⁰ + 23⁰ + <C = 180⁰

113⁰ + <C = 180⁰

113⁰ - 113⁰ + <C = 180⁰ - 113⁰

<C = 67⁰

Hope this helps, thank you :) !!

Answer 2

67

Explanation:

Use the triangle angle sum theorem. All interior angles of a triangle sum to 180 degrees. Angle b = 23, angle c = 90 (notice the marking in the triangle), angle a is what we need to find. Set the sum of all three of these equal to 180 to solve for angle a.

23+90+angle a= 180. Combine like terms

113 + angle a = 180. Subtract 113 from both sides.

Angle a = 67