Find the missing angle B

The missing angle B:

Step-by-step explanation:

Given the angles

A = 100⁰

C = 55⁰

B = ?

We know that the sum of the angles of triangles is 180⁰.

so

A + B + C = 180⁰

100⁰ + B + 55⁰ = 180⁰

B =  180⁰ - 55⁰ - 100⁰

B =  25⁰

Therefore, the missing angle B:

m∠B = 25⁰

step-by-step explanation:

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step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value