b How does the hood move when the length of the support decreases?
C
c How does the hood move when the length of the support decreases?
A
a m∠ 1=141, m∠ 2=39
B
b m∠ 1 would increase, see solution.
C
c m∠ 2 would decrease, see solution.
Practice makes perfect
a Let's draw a triangle. We are given the measures of two interior angles of this triangle and are asked to find the measures of ∠ 2, the third interior angle, and ∠ 1, the corresponding exterior angle of ∠ 2.
Let's find these two measures, one at a time!
Finding m∠ 1
The Exterior Angle Theorem tells us that the measure of the exterior angle of a triangle is the sum of the measures of the two remote interior angles. We can use this to find the measure of ∠ 1.
The Triangle Angle-Sum Theorem tells us that the measures of the interior angles of a triangle add to 180^(∘). We can use this to find the measure of ∠ 2.
