In triangle QRS the measurement of an angle RSQ is 29.1 and the measure of angle QRS is 80 degrees what is the measurement of sq

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3 years ago

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1 answer:

Komok [63] · Answer 1 · 2022-04-06T01:25:06+03:00

The measurement of ∠SQR is 70.9 degrees

Step-by-step explanation:

To find the total angle of any polygon, use the formula = 180(n-2)

The "n" is number of sides a polygon have. Triangle has 3 sides.

therefore n=3, substitute as n=3 in the formula above.

Total angle in a triangle =180(3-2)= 180(1)= 180 degrees

The sum of the angles in a triangle must equal to 180°

∠QRS+∠RSQ+∠SQR=180°

80°+29.1°+∠SQR= 180°

∠SQR= 180°-109.1°

The angle SQR= 70.9°