Question

The three angles of a quadrilateral are 76,54 and 108°, the measure of the fourth angle will be​

Answer 1

Answer:

total sum of angles in quardilateral=360°

given 3 angles..

that are 76°,54°,108°

so the 4th angles is 360°-238°=122°

so the measurement of 4th angle is 122°

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Answer 2

${\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}}$

Question

⠀⠀⠀⠀⠀• The three angles of a quadrilateral are ⠀⠀⠀⠀⠀76,54 and 108°, the measure of the⠀fourth ⠀⠀⠀⠀⠀angle will be

Given

⠀⠀⠀⠀⠀ • Three angles 76° , 54° , 108°

To Calculate

⠀⠀⠀⠀⠀ • Forth angle __?

Step by step explanation

Let Forth angle be x

Where

∠A= 76°

∠B= 54°

∠C= 108°

We know that,

Sum of all angles of Quadrilateral is 360°

∠A+∠B+∠C+∠D=360°

putting values,

✏ 76°+54°+ 108°+ x= 360°

✏ 238 + x= 360

✏ x= 360-238

${\boxed{\blue {\tt{✏ x= 122°}}}}$

${\huge{\underline{\underline{\sf{\blue{Hence:-}}}}}}$

⠀⠀⠀⠀⠀• Angle forth is 122°

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⠀⠀⠀⠀⠀${\boxed{\red{\tt{Additional \:Information}}}}$

☆ What is Quadrilateral?

A quadrilateral Can be defined as a closed, two dimensional shape which has four straight sides.

☆ Properties of Quadrilateral

A quadrilateral has 4 sides, 4 angles and 4 vertices.

A quadrilateral can be regular or irregular.

The sum of all the interior angles of a quadrilateral is 360°.

☆ Types of Quadrilateral

Quadrilaterals can be classified into ⤵️

• Parallelograms

• Squares

• Rectangles

• Rhombus

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