3x, what is the 4. In figure, if m a = x + 50 and mcc = measure of La? A 57° C.1...

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aidabernados @aidabernados

October 2022 1 8 Report

3x, what is the 4. In figure, if m a = x + 50 and mcc = measure of La? A 57° C.105° alb tle B 75 D.95 9

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donaldduck43

$\large\bold{Problem:}$

4.) In figure, if m∠a = x + 50 and m∠c = 3x, what is the measure of ∠a?

First solution

$\:\:\:\:\:\:\large\rm{x + 50\:and\:3x}$

$\:\:\:\:\:\:\large\rm{→ x + 50 = 3x}$

$\:\:\:\:\:\:\large\rm{→ x - 3x = -50}$

$\rm{→ x - 3x =\bold{-2x}}$

$\:\:\:\:\:\:\large\rm{→ -2x = -50}$

$\:\:\:\:\:\:\large\rm\frac{\cancel{-2}x}{\cancel{-2}}$ $\large\rm{=\frac{-50}{-2}}$

$\:\:\:\:\:\:\:\large\rm{x =\frac{-50}{-2}}$

$\rm{-50 ÷ (-2) = 25}$

$\:\:\:\:\:\:\:\large\rm{x =\frac{-50}{-2} = 25}$

Second Solution

$\:\:\:\:\:\:\large\rm{ x + 50}$

$\rm{x =\bold{25}}$

$\:\:\:\:\:\:\large\rm{ (25) + 50}$

$\:\:\:\:\:\:\large\rm{→ 25 + 50}$

$\rm{25 + 50 =\bold{75}}$

$\large\bold{∠a = 75°}$

therefore, the answer is letter B.

aidabernados thank u po subra

ToiIet talino

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