What is the measurement of the vertex angle of an isosceles triangle if one of its base angles measures 42 degree

Hello from MrBillDoesMath!

96 degrees

Discussion:

The base angles of an isosceles triangle are equal and a triangle has 180 degrees. In our case this means that

42 + 42 + (measure of vertex angle) = 180

84 + (measure of vertex angle)  = 180 =>     (subtract 84 from both sides)

84 - 84 +  (measure of vertex angle)  = 180- 84 =>  

(measure of vertex angle)  = 180- 84  = 96

Thank you,

MrB

900 degrees

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)