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Ratling [72]
4 years ago
9

What is the value of a+b?

Mathematics
2 answers:
Dima020 [189]4 years ago
8 0
A+b intercepts an arc of measure (360° -110°) = 250°. That makes the value of a+b equal to 250°/2 = 125°.
aleksandrvk [35]4 years ago
7 0

Answer:a+b=125°.

Step-by-step 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°

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