What is the sum of the measures of the interior angles of a polygon QRST A.)180
B.)360
C.)90
D.)720

B

Step-by-step explanation:

The sum of the interior angles of a polygon is given by the formula s=180(n-2), where s is the sum and n is the number of sides.

In this case, the polygon has 4 sides, so we can sub n for 4.

This gives s=180(4-2) or s=180×2.

Solving this gives the result of s=360.

**This question involves interior angles of polygons, which you may wish to revise. I'm always happy to help!

B)  360°

Step-by-step explanation:

use the formula (n-2)·180° where 'n' is the number of sides the polygon has

the sum of the interior angles in a quadrilateral will always have 360°;

(4-2)180 = 2(180) = 360

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step-by-step explanation:

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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.