Question

Given: ⊿BCD≅⊿RST,and m∠B=54.2,m∠C=45.8.what is the m∠T?

Answer 1

da ya have a pic??

Answer 2

So it says triangle BCD is congruent to triangel RST. This means that the angle measures will be the same for each triangle. We know that the measure of angle B is equal to the angle of R, measure of angle c is equal to measure of angle S. So we know from that, that R= 54.2 S=45.8, but we don't know what T is. So we need to think back to what a triangle has to equal! All 3 measures of the angles added together will equal 180 degrees. So add measure of angle R and S, and then subtract them from 180. And your answer is the measure of angle T= 80 degrees. :)