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.

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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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