Question

. Three angles of a quadrilateral are equal and the fourth angle measures 135. Find the
measure of equal angles.

Answer 1

Angle sum of quadrilateral is 360 degrees
Let the measure of equal angles be x
Measure of 3 equal angles = x+x+x
=3x
Total sum of angles equals

=3x +135=180
=3x= 180-135
=3x=45
=x= 45/3
x= 15 degrees

Answer 2

Answer :

• 75⁰ , 75⁰ , 75⁰ are the measures of equal angles

Given :

• Three angles of a Quadrilateral are equal
• Fourth angle measure 135

To find

• Measure of equal angles

Solution :

Given,

Three angles of a Quadrilateral are equal so,

• Let the three angles of a quadrilateral be x

Given,

• Fourth angle measure 135 so,

We know that

• Sum of angles of a quadrilateral is equal to 360⁰

➝ x + x + x + 135 = 360⁰

➝ 3x + 135 = 360⁰

➝ 3x = 360⁰ - 135

➝ 3x = 225

➝ x = 225/3

➝ x = 75⁰

Hence , 75⁰ , 75⁰ , 75⁰ are the measures of equal angles

Verification :

➝ x + x + x + 135 = 360⁰

➝ 75 + 75 + 75 + 135 = 360⁰

➝ 225 + 135 = 360⁰

➝ 360⁰ = 360⁰

Hence ,Verified