Question

Three angles of a quadrilateral are 56º.
80°, 114°. Find the measure of the fourt
angle.​

Answer 1

110⁰

Hope it helps........ :-)

Answer 2

✪ Question ✪

Three angles of a quadrilateral are 56º, 80° and 114°. Find the measure of the fourth angle.

✪ Given ✪

Three angles of a quadrilateral are 56º, 80° and 114°.

✪ To find ✪

The fourth angle.

✪ Rule ✪

✓ Sum of all angles of a quadrilateral is 360°.

✪ Solution ✪

Let the fourth angle be x°.

According to condition,

56+80+114+x = 360

↝250+x = 360

↝x = 360-250

↝x = 110

✪ Hence ✪

x = 110°

So, the fourth angle =x° = 110°

✪ Therefore ✪

The measure of the fourth angle is 110°.

-------------------------------------------------------------

✪ Verification ✪

56+80+114+x = 360

↝56+80+114+110 = 360

↝360 = 360

So, L.H.S = R.H.S.

Hence, verified.

๑ Hope this helps you. ๑