The sum of all the interior angles of a triangle is 180° and the supplementary angles add up to 180°.
First, let's solve for the supplementary angles. Since we only have one angle with measurement, let y be the other angle. Equate the sum of 9x - 14 and y to 180 and find the value of y.
Now, let's find the value of x by equating the sum of all the interior angles to 180. Note that the third missing angle is the value of y we solved above.
Check to verify:
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cdaisy568
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Verified answer
Answer:
X is 15.
Step-by-step explanation:
The sum of all the interior angles of a triangle is 180° and the supplementary angles add up to 180°.
First, let's solve for the supplementary angles. Since we only have one angle with measurement, let y be the other angle. Equate the sum of 9x - 14 and y to 180 and find the value of y.
Now, let's find the value of x by equating the sum of all the interior angles to 180. Note that the third missing angle is the value of y we solved above.
Check to verify:
Verified answer
Remember also that the sum of the non-adjacent other interior angle of a triangle is equal to the exterior angle.
Equating the givens , we get: