Question

a quadrilateral has three acute angles is measuring 75° find the measure of the fourth angle

Answer 1

Sum of all angles of a quadrilateral = 360°

Angles given in quadrilateral = 3×75

= 225°

Forth angle = 360-225

= 135°

Answer 2

Given that a quadrilateral has three acute angles is measuring 75°.

That means three angles of the quadrilateral are equal and each are 75°, 75°,75°.

We have to find the fourth angle so let it be x.

We know that sum of all the angles of quadrilateral is always 360°

so we get equation:

75°+75°+75°+x=360°

combine like terms:

225°+x=360°

subtract 225° from both sides

225°+x-225°=360°-225°

x=135°

Hence final answer is 135°