In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
∠ RPS = 62°
PQ = 15
QS = 18
Step 02:
rectangle:
we must analyze the figure to find the solution.
m ∠ QPR = (90 - 62)° = 28°
m ∠ PTQ = (180 - 28 - 28)° = 124°
PR:
PR = QS = 18
ST:
ST = QS / 2 = (18 / 2) = 9
PS:
PR² = PS² + SR²
SR = PQ = 15
18² = PS² + 15²
PS² = 18² - 15²
[tex]PS\text{ = }\sqrt[]{18^2-15^2}=\sqrt[]{99}=9.95[/tex]
The answer is:
m ∠ QPR = 28°
m ∠ PTQ = 124°
ST = 9
PR = 18
PS = 9.95
