Question

the diagram shows a triangle.
what is the value of t?
t = \square^\circ
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work it out
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Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(30^\circ + 71^\circ + (t - 27^\circ) = 180^\circ\).

Step2: Simplify the equation

First, calculate \(30 + 71 - 27\): \(30 + 71 = 101\), \(101 - 27 = 74\). So the equation becomes \(74 + t = 180\).

Step3: Solve for t

Subtract 74 from both sides: \(t = 180 - 74 = 106\).

Answer:

\(t = \boxed{106}\)