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Find the measure of angle A in the figure shown below

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; 1290 and 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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