Measurement of angle 5

<5 would measure 49°.

Step-by-step explanation:

<5 would be equal to 49 degrees due to the corresponding angles theorem.

<5 and the angle that has 49° are corresponding. They are cut by the two parallel transversals and will be congruent. The same thing will go for <6 and the angle below the 49°, those will be corresponding as well.

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:

.

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