Assume that the figures shown to the right are similar. Given the lengths of sides and measures of angles in the left figure, what information is known about the right figure?
34 degrees
102
68
90
Since the figures are similar, the corresponding angles are congruent. Therefore, the right figure must also have a 34 degree angle corresponding to the one in the left figure. The other angles in the right figure can be calculated using the fact that the angles in any triangle add up to 180 degrees. So the other angles in the right figure would be:
102 degrees (corresponding to the 68 degree angle in the left figure)
68 degrees (corresponding to the 102 degree angle in the left figure)
90 degrees (remaining angle in a right triangle)
The sides of the right figure can be calculated using the fact that corresponding sides in similar figures are proportional. Given the lengths of sides in the left figure, we can find the lengths of sides in the right figure.