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$m/_1= Find m/_1 and m/_2. {:[m/_1=120],[m/_2=]:} In the figure, m/_1=(8x+7)^(@),m/_2=(4x+14 and m/_4=(13 x+12). Your friend incorrectly says that m/_4=51. What is m/_4 ? What mista$

$m \angle 1=$ $\newline$ $8$ . Find $m \angle 1$ and $m \angle 2$ . $\newline$ $\begin{array}{l} m \angle 1=120 \\ m \angle 2= \end{array}$ $\newline$ $10$ . In the figure, $m \angle 1=(8 x+7)^{\circ}, m \angle 2=(4 x+14$ and $m \angle 4=(13 x+12)$ . Your friend incorrectly says that $m \angle 4=51$ . What is $m \angle 4$ ? What mista

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Math Problems

Grade 6

Solve one-step multiplication and division equations: word problems

Full solution

m \angle 1=

\newline

8

. Find

m \angle 1

and

m \angle 2

\newline

\begin{array}{l} m \angle 1=120 \\ m \angle 2= \end{array}

\newline

10

. In the figure,

m \angle 1=(8 x+7)^{\circ}, m \angle 2=(4 x+14

and

m \angle 4=(13 x+12)

. Your friend incorrectly says that

m \angle 4=51

. What is

m \angle 4

? What mista

Find x value: First, let's find the value of $x$ using $m/_{1} = 120$ degrees. $m/_{1} = (8x + 7)^{\circ}$ $120 = (8x + 7)$ $120 - 7 = 8x$ $113 = 8x$ $x = \frac{113}{8}$ $x = 14.125$
Calculate $m/_{4}$ : Now, let's plug the value of $x$ into $m/_{4}$ to find its measure. $\newline$ $m/_{4} = (13x + 12)^{\circ}$ $\newline$ $m/_{4} = (13 \times 14.125 + 12)$ $\newline$ $m/_{4} = (183.625 + 12)$ $\newline$ $m/_{4} = 195.625$
Correct friend's mistake: Your friend said $m/_{4} = 51$ , which is incorrect because we just calculated $m/_{4}$ to be $195.625$ .