Question

The measure of two angles of a quadrilateral are 110 and 100. The remaining two angles are equal . Find the measure of the remaining two angles

Answer 1

SOLUTION:-

Question

• The measure of two angles of a quadrilateral are 110 and 100. The remaining two angles are equal . Find the measure of the remaining two angles?

Answer

• Measure of other two angles is 75°

Given

• Two angles of Quadrilateral are 110 and 100

To Calculate

• Remaining Two angles __?

Explanation

We know that,

Sum of All angles of Quadrilateral = 360°

Let Two angles be x

According to Question

= 100 + 110 + x + x = 360

= 210 + 2x = 360

= 2x = 360-210

= 2x = 150

= x = 150/2

= x = 75°

Hence

• Measure of other two angles is 75°

_____________________________

Answer 2

Answer:

▶The measure of two angles is 75° .

Step-by-step explanation:

Given that,

• The measure of two angles of a quadrilateral are 110° and 100° .
• The remaining two angles are equal.

Let's remaining two angles be " R " .

As we know that,

Sum of all angles of quadrilateral = 360°

▶ 110° + 100° + R + R = 360°

▶ R + R = 360° - (110° + 100°)

▶ 2R = 360° - 110° - 100°

▶ 2R = 360° - 210°

▶ 2R = 150°

▶ R = 150°/2

▶ R = 75°