Question

Q10 :- The three angles of a
quadrilateral are equal and the
measure of the fourth angle is
114 degree, find the measure of
each equal angles. *
O 120 degree each
O 94 degree each
82 degree each
O 104 degree each.
​

Answer 1

Answer:

The answer is third option i.e. 82° each

Answer 2

Question~

⇒ The three angles of a  quadrilateral are equal and the measure of the fourth angle is  114 degree, find the measure of  each equal angle.

→ 120 degree each

→ 94 degree each

→ 82 degree each

→ 104 degrees each.

​-------------------------

Given :

• the three angles of a quadrilateral are equal.
• the  measure of the fourth angle is  114 degree

To find :

• the measure of  each equal angle.

Solution :

⇒ Total sum of angles in quadrilateral = 360°

= 114° + (x) + (x) + (x) = 360°

= 114° + x + x + x = 360°

= 114° + 3x = 360°

= 3x = 360° - 114°

= 3x = 246°

= x = 246/3

= x = 82

= 82°

• Therefore, option (d) 82 degrees each is the right option.