Question

of three angles of a quadrilateral are 70,85,and ,120 find the measure of the fourth angle​

Answer 1

Answer:

The value of fourth angle is 85 degrees

Step-by-step explanation:

sum of all interior angles of a quadrilateral is 360 degrees

Let the fourth angle be x

70+85+120+x=360

155+120+x=360

275+x=360

x=360-275

x=85

Answer 2

Given:-

• 1st angle of quadrilateral = 70°
• 2nd angle of quadrilateral = 85°
• 3rd angle of quadrilateral = 120°

To find:-

• The fourth angle

Assumption:-

Let the fourth angle be x

Solution:-

According to the angle sum property of a quadrilateral,

$\sf{70^{\circ} + 85^{\circ} + 120^{\circ} + x = 360^{\circ}}$

=> $\sf{275^{\circ} + x = 360^{\circ}}$

=> $\sf{x = 360^{\circ} - 275^{\circ}}$

=> $\sf{x = 85^{\circ}}$

Therefore the 4th angle is 85°

Important Question

What is angle-sum property of a quadrilateral?

Answer - Angle-Sum property of a quadrilateral states that the sum of all angles of a quadrilateral is always 360°.