Given triangle wet where angle r is a 40 degrees the measure of angle q is 60 less than the measures of angle conclusion what is the measure of angle t

Respuesta :

Answer:

20 degrees

Step-by-step explanation:

a triangle's angle sum is 180 degrees, so you would subtract 180-60=120 because angle q is 60 degrees less than 180. now add 40 to 120 to equal 160 then subtract 160 from 180 to equal 20 degrees


In ∆RQT,
R = 40°
Q = x-60°
T = x

By Angle sum property,
Angle R+Angle Q+Angle T = 180°
40°+(x-60°)+x = 180°
40+x-60+x = 180
2x-20 = 180
2x = 200
x = 100

Measure of Angle T is 100°.

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