Question

Two angles of a quadrilateral are of measure 50 and the other two angles are equal.
Find the measure of each of these two angles.

Answer 1

Given :-

Two angles of a quadrilateral are of measure 50 and the other two angles are equal.

To Find :-

Measure of each angle

Solution :-

Let the measure of equal angle be x

50 + 50 + x + x = 360

100 + 2x = 360

2x = 360 - 100

2x = 260

x = 260/2

x = 130

Therefore

Measure of both angle is 130° and 130°

Answer 2

Step-by-step explanation:

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{Given : }}}}}}} \:$

• Two angles of a quadrilateral measures 50°. Other two are equal.

$\Large{\bf{\pink{\mathfrak{\dag{\underline{\underline{To \: Find: }}}}}}}\:$

• Measure of other two angles.

$\Large{\bf{\blue{\mathfrak{\dag{\underline{\underline{Solution }}}}}}}$

Let the other two angles be x as they are equal.

As its a quadrilateral so sum of all the angles = 360°.

➠ 50° + 50° + x° + x° = 360°

➠ 100° + 2x° = 360°

➠ 2x° = 360° - 100°

➠ 2x° = 260°

➠ x° = 260/2

➠ x° = 130°

∴ Measure of each of these angles is 130°.