Question

what is the value of t? t = \square° submit

Explanation:

Step1: Relate u to t (supplementary)

$u + (t+46^\circ) = 180^\circ \implies u = 180^\circ - t - 46^\circ = 134^\circ - t$

Step2: Sum triangle angles to 180°

$t + (t-34^\circ) + u = 180^\circ$

Step3: Substitute u into the equation

$t + t - 34^\circ + 134^\circ - t = 180^\circ$

Step4: Simplify and solve for t

$t + 100^\circ = 180^\circ \implies t = 180^\circ - 100^\circ$

Answer:

$80^\circ$