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Find the value of the unknown angle (a, b, c) and Find the size of the unknown.

August 27, 2026Mathematics

ScanSolve AI Answer

Answer

\text{30}^\circ

3 steps

Identify the type of triangle and the given angles.
The diagram for question 1a) shows an isosceles triangle with two base angles measuring $75^\circ$ each. The unknown angle is labeled $d$ .
Apply the angle sum property of a triangle.
The sum of the interior angles in any triangle is $180^\circ$ .
So, we can write the equation:
$75^\circ + 75^\circ + d = 180^\circ$
Simplify and solve for $d$ .
First, sum the known angles:
$150^\circ + d = 180^\circ$
Next, subtract $150^\circ$ from both sides to find $d$ :
$d = 180^\circ - 150^\circ$ $d = 30^\circ$
The value of $d$ is $\boxed{\text{30}^\circ}$ .

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