Find the unknown angle measure

Step-by-step explanation:

The sum of the interior angles of any triangle is 180 degrees.

Thus, 59 degrees + 72 degrees + x = 180 degrees, or

131 degrees + x = 180 degrees.

Subtracting 131 degrees from boths sides isolates x:

x = (180 - 131) degrees, or

x = 49 degrees

x and y are "straight angles;" their sum must be 180 degrees.  Thus, y = (180 - 49) degrees, or y = 131 degrees.

Similarly, w + 72 degrees must add up to 180 degrees, so w = 108 degrees.

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.

won't that be plagrisim thought?

step-by-step explanation: