Question

Pls help me solve please show how you got the answer

Answer 1

C

Explanation:

The angle between the tangent and the radius at the point of contact = 90°

Then the angle between the radius and the chord = 90° - 65° = 25°

The triangle is isosceles ( 2 congruent radii ) the the 2 base angles are congruent, both 25° , so

x = 180° - (25 + 25)° ← sum of angles in a triangle

x = 180° - 50° = 130° → C

Answer 2

C which is 130

Explanation:

I usually don't like answering questions like this one. Sometimes as in your case, I'll do it, but you have to cut a bit of slack for me to do it. You have to assume that the nearly vertical arm of the 65 degree angle is a tangent, otherwise the question cannot be done.

• Tangents and radii make a 90 degree angle.
• So the complement of 65 is the base of the triangle and the radius is 90 - 65 = 25
• Since two arms of the circle are radii, the angles opposite them are equal.
• Since one of the sides and the base = 25o angle the other base angle is the same

All triangles have 180 degrees

25 + 25 + x = 180

50 + x = 180 Subtract 70 from both sides

x = 180 - 50

x = 130