# What is The measures of the angles of a B and C are given by the expressions in the table A (6x-1) B 20 C (x+14)?

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Feb 7, 2018

Measure of the angles

$\textcolor{b l u e}{\hat{A} = {125}^{0} , \hat{B} = {20}^{0} , \hat{C} = {35}^{0}}$

#### Explanation:

In a triangle, the three angles add up to ${180}^{0}$

Given $A = {\left(6 x - 1\right)}^{0} , B = {20}^{0} , C = {\left(x + 14\right)}^{0}$

$\therefore \left(6 x - 1\right) + 20 + \left(x + 14\right) = 180$

Bringing like terms together after removing the braces,,

$6 x + x - 1 + 20 + 14 = 1800$

Shifting constant terms to RHS,

$7 x = 180 - 1 + 20 + 14 = 147$

$x = {\cancel{147}}^{21} / \cancel{7} = {21}^{0}$

hatA = 6x - 1 = (6*21) - 1 = color(green)(125^0

hatB = color(green)(20

hatC = x + 14 = 21 + 14 = color(green)(35^0

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