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Find the measures of the interior angles

B
A
ZA= 48°
ZB=
48°
ZC=
O
xo
(x-44)
C

Find the measures of the interior angles B A ZA= 48° ZB= 48° ZC= O xo (x-44) C-example-1

1 Answer

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Answer: Therefore, the measures of the interior angles are:

Angle A = 48°

Angle B = -92 + x

Angle C = 224 - x

Step-by-step explanation: To find the measures of the interior angles, we'll use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Let's denote the angles as follows:

Angle A = ZA = 48°

Angle B = ZB

Angle C = ZC

From the information given, we know that angle A is 48 degrees. We can find angle C by subtracting the given value (x-44) from 180 since it is the supplementary angle to angle C.

Angle C = 180 - (x - 44) = 224 - x

Now, we can use the fact that the sum of the interior angles of a triangle is 180 degrees to find angle B.

Angle A + Angle B + Angle C = 180

Substituting the known values:

48 + ZB + (224 - x) = 180

Simplifying the equation:

272 - x + ZB = 180

ZB = 180 - 272 + x

ZB = -92 + x

User Wiifm
by
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