Question

Three angles of a quadrilateral are 80°, 95°and 65°, the fourth angle is​

Answer 1

Question :-

Three angles of a quadrilateral are 80°, 95°and 65°, the fourth angle is ?

Given :-

• Three angles of a quadrilateral are 80°, 95°and 65°

To find :-

• Fourth angle ??

Solution :-

• Let the fourth angle be 'x'

• We know that, Sum of the angles of quadrilateral is 360°

★ According to question :-

→ 80° + 95° + 65° + x = 360°

→ 240° + x = 360°

→ x = 360° - 240°

→ x = 120°

Therefore, fourth angle of quadrilateral is 120°.

Check :-

• Sum of the angles of quadrilateral is 360°

→ 80° + 95° + 65° + 120° = 360°

→ 360° = 360°

Both sides are equal / same.

Hence, Solution is checked !!

Answer 2

$\bf \blue{Answer :120⁰}$

Step-by-step explanation:

• Let the fourth angle be “n”
• Using angle sum property of quadrilateral, All angles are equal to 360⁰

$\small \sf{ Here,}$

$\sf \small{n + 80 + 95 + 65 = 360}$

$\sf \small{n + 240 = 360}$

$\sf \small{n = 360 - 240}$

$\sf \small \green{n = 120}$

$\sf \red{Hence, \: the \: fourth \: angle \: is \: 120⁰.}$