Math, asked by roushan570, 1 year ago

a quadrilateral has three acute angles ,each measuring 75degree . find the measure of the forth angle

Answers

Answered by BrainlyPrincess
55
Heya mate! Here is your answer ✌☺☺




Sum of all angles of a quadrilateral is 360°

Given, three angles, each, measures 75°

To find, the fourth angle.

Let the fourth angle be x


According to the question,

75° + 75° + 75° + x = 360°

➾ 225° + x = 360°

➾ x = 360° - 225°

➾ x = 135




∴ The fourth angle is 135°



∴ The angles are 75°, 75°, 75° and 135°

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Answered by patelnimay21
29

Answer:


Step-by-step explanation:

Sum of angles of quadrilateral= 360

So angle1+angle2+angle3+angl

e4 = 360

75+75+75+angle4= 360

225+angle4=360

angle4=360-225

angle4=135degree


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