If the opposite interior angles of an exterior angle of measure $123 °$ is $x$ and $x + 3$ , then $x$ =

40°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60°

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

80°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 60°
By exterior angle property of a triangle, we must have,
$∠ A B D = ∠ A + ∠ C$
i.e., $x + (x + 3) = 123^{\circ}$
$⟹ 2 x = 120^{\circ}$
$⟹ x = 60^{\circ}$

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 interior opposite angles of an exterior angle of measure

123 °

are (x) and (x+3), then find the value of 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 :

Join BYJU'S Learning Program

If the opposite interior angles of an exterior angle of measure 123° is x and x+3, then x=

The correct option is B 60°By exterior angle property of a triangle, we must have, ∠ABD=∠A+∠C i.e., x+(x+3)=123∘ ⟹2x=120∘ ⟹x=60∘

If the opposite interior angles of an exterior angle of measure $123 °$ is $x$ and $x + 3$ , then $x$ =

The correct option is B 60°
By exterior angle property of a triangle, we must have,
$∠ A B D = ∠ A + ∠ C$
i.e., $x + (x + 3) = 123^{\circ}$
$⟹ 2 x = 120^{\circ}$
$⟹ x = 60^{\circ}$