Question

the masurment of three angles of quadrilateral is 30degre,70degre and 100degre find the measurement of four angle​

Answer 1

To Find:-

• The measure of fourth angle

Given:-

• The three angles of a quadrilateral is 30°,70° and 100°

Solution:-

Let the fourth angle be x

We know that a quadrilateral measures 360°

step-by-step explanation:

⟹ 30° + 70° + 100° + x = 360°

⟹ 200° + x = 360°

⟹ x = 360° - 200°

⟹ x = 160°

So, the fourth angle is 160°

Now, Verification

⟹ 30° + 70° + 100° + 160° = 360°

⟹ 100° + 260° = 360°

⟹ 360° = 360°

L.H.S = R.H.S

$\sf{Hence,Proved}$

Required Answer

• The fourth angle of the quadrilateral is 160°