Question

Find the missing angle measure in each triangle as acute, right or obtuse

Answer 1

6. x = 53°

7. x = 120°

Explanation:

I use the angle ABC method

6. angle ACB + angle BAC = 90°

37° + x = 90°

Substitute angle BAC = x. angle ACB = 37°

into angle ACB + angle BAC = 90°

x = 53°

7. angle ABC + ACB + BAC = 180°

x + 37° + 23° = 180°

Substitute angle ABC = x, angle BAC = 23°,

angle ACB = 37° into

angle ABC + angle ACB + angle BAC = 180°

x = 120°

8. 12.5 × 25 = 312.5 feet

Answer 2

6. x=53 obtuse
7. x=120 obtuse

Explanation:

To find x, you need to add up the angle measures you already have and subtract that sum from 180.

For example, on number 6 you have 37 and a right angle (that little box in the corner). That counts as 90, so its 90+37=127. Then, you subtract 180-127=53. That is how you get your answer.

Hope this helps <3