Question

The measure of three angles of a quadrilateral is 30° 70° and 100° Find out the measurement of fourth angle .​

Answer 1

Answer:

forth angle is 160°

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Step-by-step explanation:

Let quadrilateral ABCD

Given three angles of quadrilateral are 30°, 70°  and 100°

find forth angle

We know that the sum of angles of quadrilateral is 360°

30° +70° + 100° +X° = 360°

X° = 360° - (30° +70° +100°)

X° = 360° - 200

X° = 160°

Hence forth angle is 160°

Answer 2

160°

Step-by-step explanation:

We know that the sum of all angles of a quadrilateral is 360°.

Let x be the unknown angle,

so,

30°+70°+100°+X = 360°

200°+X = 360°

X = 360° — 200°

x = 160°

the measurement of fourth angle is 160°