exam Maths Puzzle Numerical Ability

The measure of a base angle of an isosceles triangle is 4 times the measure of the vertex angle. Find the measure of the vertex angle.

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exam Other Question

I was asked to solve a proof with the following components:

Given: ABCD is a parallelogram
segment AT is perpendicular to segment BD, and segment CQ is perpendicular to segment
Please help me perform the operation indicated. Thank you

3 into square root 2/3