Find the measures of the interior angle?show your work.

x = 45

Step-by-step explanation:

The sum of the angles of a triangle are 180

x+x+ 90 = 180

2x+90 =180

Subtract 90 from each side

2x +90-90 =180-90

2x= 90

Divide each side by 2

2x/2 =90/2

x = 45

x = 45°

Step-by-step explanation:

This is an isosceles triangle. There is a 90° angle. The other two angles (x) have to be the same as they are both called x.

The sum of all the angles in a triangle is 180°. You already have a 90° angle.

180° - 90° = 90°.

90° ÷ 2 = 45°

(You divide it by 2 because there are 2 x's)

Another way:

You know this is an isosceles triangle, so the angles have to be 45°-45°-90°.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐