Question

The measure of three angles of a quadrilateral is 30˚, 70˚ and 100˚. Find out

the measurement of fourth angle.​

Answer 1

Answer:

Measurement of fourth angle = 160°

Answer 2

• Fourth angle of quadrilateral is 160°.

Step-by-step explanation:

Given:-

• Measure of three angles of quadrilateral is 30°, 70° and 100°.

To find:-

• Measure of Fourth angle.

Solution:-

Let, Fourth angle of quadrilateral be 'x'.

We know that,

Sum of all angles of quadrilateral is 360°.

So,

→ 30° + 70° + 100° + x = 360°

→ 200° + x = 360°

→ x = 360° - 200°

→ x = 160°

Verification:-

→ 30° + 70° + 100° + x = 360°

→ 200° + x = 360°

• Put x = 160°

→ 200° + 160° = 360°

→ 360° = 360°

Hence, Verified.

We have taken x is fourth angle.

So,

Fourth angle of quadrilateral is 160°.