Question

what is the value of t?
t + 44°
t - 42°
t
tt =
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work it out
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solve linear equations: mixed review (36)
lesson: exterior angles of triangles

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$t + 44^\circ = (t - 42^\circ) + t$

Step2: Simplify the right-hand side

Combine like terms:
$t + 44^\circ = 2t - 42^\circ$

Step3: Isolate the variable $t$

Subtract $t$ from both sides, then add $42^\circ$ to both sides:
$44^\circ + 42^\circ = 2t - t$

Step4: Calculate the value of $t$

Compute the sum:
$t = 86^\circ$

Answer:

$86$