Isosceles and equilateral triangles (please help me as fast as you can thank you)

x = 71°

x = 19°

x = 34°

Step-by-step explanation:

In rectangle ABCD. By exterior angle theorem:

x + 65° = 46° + 90°

x + 65° = 136°

x = 136° - 65°

x = 71°

Since, XYZ is an equilateral triangle,

Therefore, m(angle XZY) = 60°, So, by exterior angle theorem:

m angle XZY = x + 41°

60° = x + 41°

60° - 41° = x

19° = x

x = 19°

PQR is an isosceles triangle. In which PQ = PR.

Therefore,

m(angle PRQ) = m(angle PQR) = 69°

By exterior angle theorem:

x + 35° = 69°

x = 69° - 35°

x = 34°

the answer is 2/54

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal