Question

the measure of the three angles of a quadrilaterals is 30° 70° and 100°. find out the measure of the fourth​

Answer 1

$\underline{\bigstar{\sf\ Given:-}}$

1st angle of quadrilateral = 30°

2nd angle = 70°

3rd angle = 100°

$\underline{\bigstar{\sf\ To\:Find:-}}$

• Measure of 4th angle

$\underline{\bigstar{\sf\ Solution:-}}$

Let the 4th angle be x.

30° + 70° + 100° + x = 360°

[Sum of all angles of a quadrilateral is 360°]

200° + x = 360°

x = 360 - 200

x = 160°

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Answer 2

★ Given:-

1st angle of quadrilateral = 30°

2nd angle = 70°

3rd angle = 100°

★ To Find:-

• Measure of 4th angle

★ Solution:-

Let the 4th angle be x.

30° + 70° + 100° + x = 360°

[Sum of all angles of a quadrilateral is 360°]

200° + x = 360°

x = 360 - 200

x = 160°