In triangle abc the measure of angle a is 15 less than twice the measure of angle b the measure of angle c equals the sum of the measures of angle a and angle b determine the measure of angle b

The measure of angle b is 35°.

Step-by-step explanation:

Given:

the measure of angle a is 15 less than twice the measure of angle b

So we can say that;

Also Given:

measure of angle c equals the sum of the measures of angle a and angle b

So we can say that;

But

So we can say that

we need to find the measure of angle b.

Solution:

In Δ abc,

Sum of measures of all angles of triangle is 180°.

So we can say that;

Substituting the value of a and c in above equation we get;

Adding both side by 30 we get;

Dividing both side by 6 we get;

Hence the measure of angle b is 35°.

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step-by-step explanation:

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