Find the value of x in the following figure. Note: The figure is not drawn to scale. x = _a0°

x= 40

Step-by-step explanation:

The sum of the angles in a triangle is 180

75+ 65+ unknown = 180

140 + unknown = 180

unknown = 180- 140

unknown = 40

unknown = x because they are vertical angles and vertical angles are equal

40 =x

x = 40

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Let y be the missing angle.

75 + 65 + y = 180

y = 180 - 75 - 65

y = 40

Vertically opposite angles are equal.

x = y

x = 40

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.

9x