Can someone plz answer and explain this?

Hi,

First let's find the unknown degree in the triangle. We know an entire triangle is 180 degrees so all we have to do is add the sum of the other two interior angles. 55 + 72 = 127. Now let's subtract 127 from 180 to get 53. Now let's solve for x. Since we know the angle beside it is 53, we subtract that from 180 degrees (a line segment is 180 degrees) to get 127.

x = 127 degrees

Have a great day!

the answer is 31.27mph

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.