If the interior opposite angles of an exterior angle of measure $123 °$ are (x) and (x+3), then find the value of x.

Open in App

Solution

By exterior angle property of a triangle, we must have,
$∠ A B D = ∠ A + ∠ C$
i.e., x+(x+3)=123⁰
=> 2x = 120⁰
=> x = 60⁰

Suggest Corrections

Similar questions

Q. If the opposite interior angles of an exterior angle of measure

123 °

x

and

x + 3

, then

x

Q. If the opposite interior angles of an exterior angle of measure

123 °

x

and

x + 3

, then

x

An exterior angle of triangle is $80^{\circ}$ and the interior opposite angles are in the ratio $1 : 3$ . The measure of each interior opposite angle is

Q. An exterior angle of a triangle is

80^{\circ}

and the interior opposite angles are in the ratio 1 : 3. Measure of each interior opposite angle is :

Q. In a triangle, exterior angle measures 120°. If one of the interior opposite angle measure 50°, then what is the value of the other interior opposite angle?

Join BYJU'S Learning Program

If the interior opposite angles of an exterior angle of measure 123° are (x) and (x+3), then find the value of x.

By exterior angle property of a triangle, we must have, ∠ABD=∠A+∠C i.e., x+(x+3)=123⁰ => 2x = 120⁰ => x = 60⁰

If the interior opposite angles of an exterior angle of measure $123 °$ are (x) and (x+3), then find the value of x.

By exterior angle property of a triangle, we must have,
$∠ A B D = ∠ A + ∠ C$
i.e., x+(x+3)=123⁰
=> 2x = 120⁰
=> x = 60⁰