Question

The measure of these of the
angle of a qugdeilatesalate
I 300 40° and 60°. What is the
measure of the fourth angle?
A. 50°
B. 700°
C 130°
D. 230°​

Answer 1

Correct question:

The measure of angles of a quadrilateral are 30°, 40° and 60°. What is the measure of the fourth angle?

A. 50°

B. 700°

C 130°

D. 230°

Answer:

The fourth Angle is 230°. (Option D)

Step-by-step explanation:

Given :

Angles = 30°, 40° and 60°

To find :

The measure of the 4th angle

Solution :

Let the fourth angle be y.

Angle Sum property of a quadrilateral = All angles sum up and make 360°

⇒ y + 30 + 40 + 60 = 360

⇒ y + 70 + 60 = 360

⇒ y + 130 = 360

⇒ y = 360 - 130

⇒ y = 230°

Fourth angle = 230°

$\therefore$ The fourth Angle is 230°. (Option D)

Answer 2

Correct Question :

The measure of angles of a quadrilateral are 30°, 40° and 60°. What is the measure of the fourth angle?

A. 50°

B. 700°

C. 130°

D. 230°

━━━━━━━━━━━━━━

Answer:

Let the Fourth Angle of Quadrilateral be a

☯ By Angle Property of Quadrilateral :

Sum of all FOUR ANGLES of Quadrilateral is equal to 360°

↠ 30° + 40° + 60° + a = 360°

↠ 130° + a = 360°

↠ a = 360° – 130°

↠ a = 230°

∴ Fourth Angle of Quadrilateral is D) 230°.