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Q.

If a quadrilateral has three acute angles, each of measure 80°, then calculate the measure of the fourth angle.


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a

150°

b

120°

c

105°

d

140° 

answer is B.

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Detailed Solution

Given, a quadrilateral has three acute angles, each of measure 80°.
The angle sum property of a quadrilateral states that the sum of all the interior angles of a quadrilateral is 360 ° .
Using this property,
We will determine the fourth angle of the given quadrilateral with three acute angles, each of 80°.
So, let us assume the measure of the fourth angle of the quadrilateral to be x ∘ .
So, applying the angle sum property, we have,
x ° + 80 ° + 80 ° + 80 ° = 360 ° 240+ x ° = 360 ° x=360−240 x= 120 °
So, the measure of the fourth angle is found to be 120 ∘ .
Hence, the correct option is (2).
 
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If a quadrilateral has three acute angles, each of measure 80°, then calculate the measure of the fourth angle.