Answer:
-3
Step-by-step explanation:
Using the Triangle Sum Theorem, we can prove that m<A + m<B + m<C = 180⁰. Looking at the triangle above, it has given us two measurements. We have to find the third measurement. In order to find the third measurement we will use the Triangle Sum Theorem.
m<A + m<B + m<C = 180⁰
x + 83 + 60⁰ + 40⁰ = 180⁰
x + 183⁰ = 180⁰
x + 183⁰ - 183⁰ = 180⁰ - 183⁰
x = -3
Now plug in -3 in the x place.
x + 83
-3 + 83 = 80⁰
Let us make sure that our Triangle Sum Theorem is right.
m<A + m<B + m<C = 180⁰
80⁰ + 60⁰ + 40⁰ = 180⁰
180⁰ = 180⁰
So this makes our answer true. Hope this helps, thank you :) !!
