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06-05-2020
Mathematics

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3. Triangle ABC has angle measures as shown.
(x + 2)
(6x + 10)
(a) What is the value of x? Show your work.
(b) What is the measure of angle B? Show your work.

3 Triangle ABC has angle measures as shown x 2 6x 10 a What is the value of x Show your work b What is the measure of angle B Show your work class=

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PollyP52 PollyP52

06-05-2020

Answer:

Below in bold.

Step-by-step explanation:

(a) The angles in a triangle add up to 180 degrees, so:

x + x + 2 + 6x + 10 = 180

8x + 12 = 180

8x = 168

x = 168/8 = 21 degrees.

(b) Angle B = x + 2

= 21 + 2 = 23 degrees.

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