gabymiaaguilar gabymiaaguilar

09-02-2021
Mathematics

contestada

Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

Triangle ABC has angle measures as shown a What is the value of x Show your work b What is the measure of angle C Show your work class=

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igeorge02 igeorge02

09-02-2021

Answer:

Step-by-step explanation:

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mhanifa mhanifa

09-02-2021

Answer:

12°

Step-by-step explanation:

Sum of interior angles of the triangle is 180°:

m∠A + m∠B + m∠C = 180°
3x + 28° + 5x + 52° + 2x - 10° = 180°
10x + 70° = 180°
10x = 110°
x = 11°

Find the measure of angle C:

m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°

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