Answer:
see explanation
Step-by-step explanation:
( 22 )
The inscribed angle (2x + 1)° is half the measure of its intercepted arc , that is
2x + 1 = [tex]\frac{1}{2}[/tex] × 96 = 48 ( subtract 1 from both sides )
2x = 47 ( divide both sides by 2 )
x = 23.5
(24)
PQRS is a cyclic quadrilateral
In a cyclic quadrilateral
• opposite angles are supplementary ( sum to 180° )
∠ P and ∠ R are opposite angles , then
4x + 5x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Also
∠ Q and ∠ S are opposite angles , then
7y + 11y = 180
18y = 180 ( divide both sides by 18 )
y = 10
