Question

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

Answer 1

Step-by-step explanation:

In a quadralitral sum of angles is 360

30+70+100+x=360

X=360-200

X=160

Answer 2

Solution:-

Given angles:-

=> ∠A = 30⁰

=> ∠B = 70⁰

=>∠C = 100⁰

=> ∠D = x

We know that sum of all sides of quadrilateral is 360⁰

=> ∠A +∠B +∠C + ∠D = 360⁰

=> 30⁰ + 70⁰ + 100⁰ + x = 360⁰

=> 100⁰ + 100⁰ + x = 360⁰

=> 200⁰ + x = 360⁰

=> x = 360⁰ - 200⁰

=> x = 160⁰

So ∠D = 160⁰

More about quadrilateral

A quadrilateral is a plane figure made with four line segments closing in a space.

The easiest, fastest way to learn about quadrilaterals is to build one yourself.

Find four straight objects to use as line segments

(four = quadr; side = lateral).

Anything will do, and they do not have to be the same length: straws, rulers, dowels, pens -- whatever you have handy. If you connect the four linear objects at their eight ends, you have a quadrilateral, a four-sided polygon.