Question

The measures of the inner $\angle A$ and inner $\angle C$ in the given figure is

• A. ${65}^0,{85}^0$
• B. ${55}^0,{75}^0$
• C. ${70}^0,{75}^0$
• D. ${60}^0,{80}^0$

Answer 1

The correct option is C

${70}^0,{75}^0$

Inner angle at A is $={105}^0-{35}^0={70}^0$ [Exterior angle of a triangle is equal to sum interior opposite angles]

Inner angle at C $={180}^0-({35}^0+{70}^0)={180}^0-{105}^0$ [Sum of all the angles of a triangle is ${180}^0$]

$={75}^0$