Find the value of each variable. ( i’m so stuck)

x = z = 45°, y = 90°

Step-by-step explanation:

This is an isosceles triangle ( given 2 equal sides )

Hence x = z ( base angles )

z and 135° form a straight angle and are supplementary

z = 180° - 135° = 45°

hence x = z = 45°

the sum of the 3 angles in the triangle = 180°

To find y subtract the sum of x and z from 180

y = 180° - (45 + 45)° = 180° - 90° = 90°

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

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.