Question

17. If two angles measuring (3x - 15°) and (x + 5°) are complementary, find the angles
18. Find the longest side of APQR such that ZP = 400, ZQ = 65°.​

Answer 1

Answer:

60 and 30

Step-by-step explanation:

complementary angles add up to 90

(3x-15°) + (x+5°) = 90°                          

3x - 15 + x + 5 = 90

4x - 10 = 90

4x = 90 + 10

4x = 100

x = 25

angle 1 = 3*25 - 15 = 60°

angle 2 = 25 + 5 = 30°

Answer 2

Answer:

4x - 10° = 90°

4x = 100°

x = 25°