Question

Triangle abc is similar to triangle def

Angle a is forty degrees, angle d is y degrees, angle f is 2x+20 degrees, and angle b is 74-x degrees

Find angle f

Answer 1

112

Explanation:

Similar triangle have the same measurements.

The three angles are:

40

2x + 20

74 -x

The sum of the interior angles of a triangle is 180

40 + 2x + 20 + 74 - x = 180 Combine like terms

134 + x = 180 Subtract 134 from both sides

134 - 134 + x = 180 - 134

x = 46

Now we can find the measurement of f

2x + 20 Substitute 46 for x

2(46) + 20

92 + 20

112