Three angles of a quadrilateral are 75°, 90° and 75°. Find the mea

1.	Three angles of a quadrilateral are 75°, 90° and 75°. Find the measure of the fourth angle.
Answer» Consider the fourth angle as x^o In a quadrilateral we know that the sum of all the angles is 360^o So we can write it as x^o + 75^o + 90^o + 75^o = 360^o On further calculation we get x^o = 360^o – 75^o – 90^o – 75^o By subtraction x^o = 360^o – 240^o x^o = 120^o Therefore, the measure of the fourth angle is 120^o.

Three angles of a quadrilateral are 75°, 90° and 75°. Find the measure of the fourth angle.

Answer»

Consider the fourth angle as x^o

In a quadrilateral we know that the sum of all the angles is 360^o

So we can write it as

x^o + 75^o + 90^o + 75^o = 360^o

On further calculation we get

x^o = 360^o – 75^o – 90^o – 75^o

By subtraction

x^o = 360^o – 240^o

x^o = 120^o

Therefore, the measure of the fourth angle is 120^o.

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Three angles of a quadrilateral are 75°, 90° and 75°. Find the measure of the fourth angle.

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