# Two Triangles with Angle Measures

Pro Problems > Math > Geometry > Triangles## Two Triangles with Angle Measures

In a triangle, the angles measures are: 3x + 44, x, and 2x - 20. In a second triangle, two of the angle measures are x + 20 and 2x - 5. What is the measure of the third angle?

## Solution

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In the diagram displayed, the triangle splits the rectangle into three similar triangles. Find the value of AD^{2} divided by the product of DE and EC.

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Segment AD is drawn in triangle ABC, with D on side BC. Given the following information, determine the measure of angle ADB.

measure of angle BAD = x

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measure of angle ADC = 2y

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Line segment AB is intersected by segment DC, with D on AB, between A and B.

In triangle ADC, m∠ADC = 30º + x and m∠DAC = 50º

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In triangle CDB, m∠CDB = 140º + x

Find m∠CBD.

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In the diagram shown,

m ∠DCF = 80

m ∠ACF = 30

m ∠FBD = 50.

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