Find the measure of angle A in the figure shown below

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Expert Solution

in this question, we first determine the interior angles that are supplementary to the angles; 129⁰and 138⁰

if two angles are supplementary, their sum is 180

the first angle therefore can be obtained as:

180⁰ - 129⁰ = 51⁰

the second angle can be obtained as:

180⁰-138⁰ = 42⁰

we sum up the two interior angles.

42⁰+51⁰ = 93⁰

the sum of all the interior angles of a triangle is 180⁰.

to obtain the value of angle A, we subtract 93⁰ from 180⁰ to obtain;

180⁰ - 93⁰ = 87⁰

the value of the angle is 87⁰

joseph irungu answered 2 years ago

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