Question

The measures of two angles of a quadrilateral are 110° and 100°. The remaining two angles are equal. The measure of each of the remaining two angles is
30°
60°
75°
45°

Answer 1

Step-by-step explanation:

60° hope it HELPS ...............

Answer 2

S O L U T I O N :

$\underline{\bf{Given\::}}$

The measures of two angles of a quadrilateral are 110° & 100°. The remaining two angles are equal .

$\underline{\bf{Explanation\::}}$

As we know that sum of all angles & side of quadrilateral are 360°.

Let the two angles of a quadrilateral be r°

A/q

$\mapsto\tt{110\degree + 100\degree + r\degree + r\degree = 360\degree }$

$\mapsto\tt{210\degree + 2r\degree = 360\degree }$

$\mapsto\tt{ 2r\degree = 360\degree - 210\degree }$

$\mapsto\tt{ 2r\degree = 150\degree }$

$\mapsto\tt{r = \cancel{150/2}}$

$\mapsto\bf{r = 75\degree}$

Thus,

The other two angles of a quadrilateral are 75° & 75° .

Note : Quadrilateral have four sided pics .

Option (C) 75°