Question

Use the figure below to complete the following problem.Given:H = 2x + 60T = x + 30HALT is a ∠T=906030

Answer 1

In a 4 side figure, the sum of all its internal angles are 360 degrees.

There are two angle given H and T

and two angles missing A and L

BUT the two angles missing are the same as angles H and T, because this is a paralelogram

that means we can write H + T = A + L

and. H + T + A + L = H + T + H + T = (2x + 60)+ ( x+30)+(2x+60)+(x+30) = 6x + 180

also H + T + A + L = 360

so then 6x + 180 = 360

now find x

x= (360-180)/6= 30

the question is : find angle T

T= x + 30 = 30 + 30 = 60