Question

If CAT = RED, mT 37, and mE = 42, what is the measure of C?

Answer 1

As per given by the question,

There are given that two triangle ,

`\Delta CAT,\text{ and }\Delta RED`

And,

`m\angle T=37,\text{ and m}\angle E=42`

now,

According to given question,

The given traingle is congruent.

So,

`\Delta CAt\cong\Delta RED`

If two traingle is congruent, then from given figure;

Angle A is equal to angle E, and

In a triangle CAT we have angle T and angle A

so,

In a triangle CAT,

`m\angle T=37,\text{ and m}\angle A=42`

Now,

The total sum of the angle is

`180^(\circ)`

So, from triangle CAT,