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seventh grade > ★ ff.4 side lengths and angle measures of similar figur…

Question

seventh grade > ★ ff.4 side lengths and angle measures of similar figures ja5
if these two figures are similar, what is the measure of the missing angle?
(figure of a parallelogram with angles 145°, 35°, 35°, 145° and another similar parallelogram with a missing angle ?)

Explanation:

Step1: Recall similar figures property

Corresponding angles of similar figures are equal.

Step2: Identify matching angle

The missing angle corresponds to the $145^\circ$ angle in the first figure (or the other $145^\circ$ angle, as the shape is a parallelogram with opposite angles equal, and similar figures preserve angle measures).

Answer:

$145^\circ$