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.
