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what is the value of t? t - 30° t - 33° t = °

Question

what is the value of t? t - 30° t - 33° t = °

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $t=(t - 33^{\circ})+(t - 30^{\circ})$.

Step2: Expand the right - hand side

$t=t - 33^{\circ}+t - 30^{\circ}$.

Step3: Combine like terms

$t = 2t-63^{\circ}$.

Step4: Solve for t

Subtract $t$ from both sides: $0=2t - t-63^{\circ}$, which simplifies to $t = 63^{\circ}$.

Answer:

$63$