First draw two perpendicular segments, then connect them with a third segment.
See solution.
Practice makes perfect
Let's begin by constructing a right triangle. To do so we draw two perpendicular segments and connect them with a third segment. We will also measure ∠ A.
As we can see, the measure of ∠ A is 40. Now we want to find the measure of the second acute angle, which is ∠ C. We can use the Triangle Angle-Sum Theorem. It tells us that the sum of the measures of ∠ A, ∠ B, and ∠ C is 180.
m ∠ A+ m ∠ B + m ∠ C = 180
We already know that m ∠ A = 40. By the definition of a right angle, we also know that m ∠ B= 90. Let's substitute these values in our equation.
40 + 90+m ∠ C= 180 ⇕ 130+m ∠ C = 180
Now we can subtract 130 from both sides of the equation.
m ∠ C = 180 -130 ⇔ m ∠ C = 50
We found that the measure of ∠ C is 50. Let's confirm our result using a protractor.
As we can see, m ∠ C =50, so our result is correct.
