6. a Suppose the measure of an angle is 25°. What is the measure of its complementary angle?

65°

Step-by-step explanation:

A pair of complementary angles' measurements combined is equal to 90° in measurement. One of the angles given is 25°. To find the other one, simply subtract 90 with 25:

90 - 25 = 65

65° is the measurement of the complementary angle.

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c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

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to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.