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22) 8

21) <7 and <5

20) 24

Step-by-step explanation:

Hello there! Mizuki is here to help!

For 18, the correct option is 104.

For 19, the correct option is 70.

For 20, the correct option is 24.

For 21, the correct answer is angle 7 and 5(also the last option)

For 22, the value of x is 8!

Sorry for not including work for 18-20!

Step-by-step explanation:

22 work:

180 - 140 = 40

40 ÷ 5 = 8

21:

Congruent is a equal side, so basically the sides with same degrees.

The congruent angles here are angle 7 and angle 5, and angle 8 and angle 6.

But on the options, there is only angle 7 and 5, so that is the correct answer.

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.