Question

The angles of a quadrilateral are 60°and70° and other angles are in the ratio 8:19 then find remaining two angles​

Answer 1

Answer:

Here is the answer...

Step-by-step explanation:

Two angles of a quadrilateral are 60° & 70°.

&

Other two angles are in the ratio 8:15.

Let the ratio number be x°.

We know that, Sum of all sides of quadrilateral are 360°

Therefore,

=) 8x +15x +60° +70° =360°

=) 23x + 130° = 360°

=) 23x = 360° -130°

=) 23x = 230°

=) x= 230°/23

=) x= 10°

Thus,

Other two angles are 8x & 15x.

8x = 8× 10° = 80°

15x = 15×10° = 150°

Hope it helps ☺️

Answer 2

Correct Question :-

• The angles of a quadrilateral are 60° and 70° and other angles are in the ratio 8:15, then find remaining two angles.

Answer :-

80° and 150°

Explanation :-

Let the angles be 8x and 15x.

We know that,

Sum of all angles in Quadrilateral = 360°

➨ 8x + 15x + 60 + 70 = 360°

➨ 23x + 130 = 360°

➨ 23x = 360 - 130.

➨ 23x = 230°

➨ x = 230 ÷ 23.

➨ x = 10.

Therefore,

• 8x = 80°
• 15x = 150°

Hence, The two angles are 80° and 150°.

Verification :-

➨ 8x + 15x + 60 + 70 = 360°

➨ 80 + 150 + 130 = 360°

➨ 360° = 360°

LHS = RHS.

Hence, Verified.