Question

The angles of a quadrilateral are respectively 100°, 98, 92° . Find the fourth angle.​

Answer 1

Answer:

70°

Step-by-step explanation:

As we know the sum of all angles of a quadrilateral is 360°

So,

360 - (100 + 98 + 92)

=>360 - 290

=>70

The fourth angle is 70°

Answer 2

Given

The angles of a quadrilateral are 100° , 98° and 92°

What To Find

Forth angle of a quadrilateral

Concept Using

The angle sum property of a quadrilateral

• The sum of angles of a quadrilateral is 360°

∠A + ∠B + ∠C + ∠D = 360°

Solution

Let assume the forth angle of a quadrilateral be x

• ∠A = 100°
• ∠B = 98°
• ∠C = 92°
• ∠D = x

According to the Concept

$\begin{cases}\large\bf{\red{ \leadsto}} \rm \: 100 \degree \: + \: 98° \: + \: 92° \: + \: x \: = \: 360 \degree \\ \\ \large\bf{\red{ \leadsto}} \rm \:290 \degree \: + \: x \: = \: 360 \degree \\ \\ \large\bf{\red{ \leadsto}} \rm \:x \: = \: 360 \degree \: - \: 290 \degree \\ \\ \large\bf{\red{ \leadsto}} \rm \: \: x \: = \: 70 \degree \end{cases}$

The measure of fourth angle of a quadrilateral is 70°