27.7k views
5 votes
What is the value of a+b?

What is the value of a+b?-example-1
User Jacobangel
by
4.9k points

2 Answers

6 votes

Answer:a+b=125°.

Explanation:

Measure of arc which makes an angle of 90 °at centre is 90° as intercepted arc measures the same as central angle .

Measure of remaining arc = 360-(90+110)=360-200=160°.

b= 160÷2=80° as An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc .

Measure of a= 90÷2=45°(angle made on circumference is half the angle made at center)

a+b=45+80=125°

User Thorben Kuck
by
5.7k points
5 votes
a+b intercepts an arc of measure (360° -110°) = 250°. That makes the value of a+b equal to 250°/2 = 125°.
User Kayess
by
6.2k points