Question

Find the value of $\angle$ABP if $\angle$APT = ${75}^0$

• A. 105°
• B. 100°
• C. 80°
• D. 75°

Answer 1

The correct option is A

105°

Using Tangent-chord theorem, $\angle$APS = $\angle$ABP

We know that $\angle$APT = ${75}^0$

$\angle$APS = ${180}^0$ - $\angle$APT

= ${180}^0$ – ${75}^0$

= ${105}^0$

Therefore $\angle$ABP = ${105}^0$