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

Answer:

Measure of the angles

#color(blue)(hatA = 125^0, hatB = 20^0, hatC = 35^0)#

Explanation:

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In a triangle, the three angles add up to #180^0#

Given #A = (6x-1)^0, B = 20^0, C = (x+14)^0#

#:. (6x-1) + 20 + (x + 14) = 180#

Bringing like terms together after removing the braces,,

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

Shifting constant terms to RHS,

#7x = 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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