Answer:
Step-by-step explanation:
a). Ratio of OP and RT = [tex]\frac{OP}{RT}[/tex]
= [tex]\frac{12}{3.6}[/tex]
= [tex]\frac{10}{3}[/tex]
b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.
[tex]\frac{OQ}{RS}=\frac{OP}{RT}[/tex]
[tex]\frac{OQ}{4.5}=\frac{10}{3}[/tex]
OQ = [tex]\frac{10\times 4.5}{3}[/tex]
OQ = 15 cm
c). m∠P = m∠T = 60°
d). m∠Q = m∠S
By applying angle sum theorem in ΔRST,
m∠R + m∠S + m∠T = 180°
26° + m∠S + 60° = 180°
m∠S = 180° - 86°
= 94°
Therefore, m∠Q = m∠S = 94°
