Question

The measure of two adjacent angle of a quadrilateral 150 degrees and the other two acute angle are equal find the measure of each angle

Answer 1

Question?

The measure of two adjacent angle of a quadrilateral 150 degrees and the other two acute angle are equal . Find the measure of each angle.

Answer:-

Four angles of quadrilateral are 110°, 50°,100° and 100°

Step by step Explaination:-

$\large{\underline{\sf{\red {Given:- }}}}$

• The measure of two adjacent angle of a quadrilateral 150 degrees and the other two acute angle are equal.

$\large{\underline{\sf{\blue {To\: find:- }}}}$

• Find the measure of each angle.

$\large{\underline{\sf{\orange {Directions:- }}}}$

$\sf \purple{Let's \: assume:- }$

• Measure of each angle of a quadrilateral be x.
• Measure of two adjacent angles of a quadrilateral are 110 degrees and 50 degrees.
• Sum of the angles of quadrilateral is 360 degrees.

$\sf \purple{Solving \: the \: Question:- }$

$\implies \mathtt{x + x + 110 + 50= 360}$

$\implies \mathtt{2x + 160 = 360}$

$\implies \mathtt{2x = 200}$

$\implies \mathtt{x = 100}$

$\large\pink{ \boxed{ \sf{ \pink{ Therefore \: four \: angles \: of \: quadrilateral \: are \: 110, 50,100 \: and \: 100 \: degree}}}}$

Answer 2

Question?

The measure of two adjacent angle of a quadrilateral 150 degrees and the other two acute angle are equal . Find the measure of each angle.

Answer:-

Four angles of quadrilateral are 110°, 50°,100° and 100°

Given:−

The measure of two adjacent angle of a quadrilateral 150 degrees and the other two acute angle are equal.

Tofind:−

Find the measure of each angle.

Directions:−

Measure of each angle of a quadrilateral be x.

Measure of two adjacent angles of a quadrilateral are 110 degrees and 50 degrees.

Sum of the angles of quadrilateral is 360 degrees.

Step-by-step:-

x + x + 110 + 50 ⟹360

{2x + 160 = 360}⟹2x+160=360

{2x = 200}⟹2x=200

{x = 100}⟹x=100