Question

DATE
Tues angles of a
quadrilateral are 7.0 and
80 and the
third angle is double than
the fourth angle find tuss angle​

Answer 1

Answer:

The third angle is 140° and the fourth angle is 70°.

Step-by-step explanation:

Given :-

Two angles of a quadrilateral are 70° and 80°.

The third angle is double than the fourth angle.

To find :-

The two unknown angles.

Step-by-step explanation :-

Let the fourth angle be x.

Then the third angle will be 2x, because it's double than the fourth angle.

The other two angles are 70° and 80°.

We know that :-

Sum of all angles in a quadrilateral = 360°

So that means all the angles will add up to 360°,

=> x + 2x + 70° + 80°=360°

Adding 70° and 80°,

==> x +2x + 150° = 360°

Adding x and 2x,

==> 3x + 150° = 360°

Transposing 150° from LHS to RHS, and changing the sign,

==> 3x = 360°-150°

==> 3x =210°

Transposing 3 from LHS to RHS, changing its sign,

==> x= 210°/3

==> x = 70°

Hence the value of x is 70°

So, the two unknown angles are

x = 70°

2x = 2 × 70° = 140°