Question

Q.9 Find the measure of x for each of the figure given below ( Note :- Solve with proper steps ) ​

Answer 1

Answer:

Measure of x° is 105°.

Step-by-step explanation:

To find :

• Measure of x.

Solution :

As we know given figure is a quadrilateral because it have four sides and four angles.

Quadrilaterals are plane figures consists of four sides and four angles. For example, Rhombus, rectangle, square, parallelogram and kite, etc.

Angles of given quadrilateral are 85°, x°, 65° and x°.

We also know,

✿ Sum of all angles of quadrilateral is equal to 360° .

So,

$\implies$ 85° + x° + 65° + x° = 360°

$\implies$ 2x + 150° = 360°

$\implies$ 2x = 360° - 150°

$\implies$ 2x = 210°

$\implies$ x = 210°/2

$\implies$ x = 105°

Thus,

Measure of x° is 105°.

Answer 2

Step-by-step explanation:

to find :

• to measure of 85 degree and 65 degree

let us do :

• 85° + x + 65° + x° = 360°

• 2x + 150° = 360°

• 2x = 360° - 150°

• 2x = 210°

• x = 210°/2

• X = 105°