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X= 42 degrees

Step-by-step explanation:

When combining 3x+12 and x, this results in a 180 degree angle to be formed. Therefore create the equation 3x+12+x=180 to get the value of X.

3x+12+x=180

4x+12=180

-12.     12

4x= 168

x= 42

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.

35 is an outlier

step-by-step explanation: