triangle ABC is a right-angled triangle with the size of angle ACB equal to 74 degrees.

triangle ABC is a right-angled triangle with the size of angle ACB equal to 74 degrees. The lengths of the sides AM, MQ and QP are all equal. Find the measure of angle QPB.

Expert Solution

In the question, we start by determining the size of angle CAB

180 - (90+74) = 16⁰

angle QAM is equal to angle MQA. we obtain the value of angle AMQ as;

180-(16+16) = 148⁰

angle AMQ and QMP are supplementary and hence the size of angle QMP is 32⁰

angles QMP and QPM are equal

angles QPM and QPB are supplementary and hence adds up to 180⁰

to obtain the obtuse angle QPB, we subtract 32 from 180

180-32 = 148⁰

The value of angle QPB is 148⁰

joseph irungu answered 2 years ago

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