In the diagram below, AC ICB, AB I CD, and mZA = 31°. Find mZB. С
D
B
You may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale.

m∠B = 59°

Step-by-step explanation:

From ΔADC,

m∠DAC = 31°

By triangle sum theorem,

m∠ADC + m∠DAC + m∠DCA = 180°

90° + 31° + m∠DCA = 180°

m∠DCA = 180° - 121°

             = 59°

m∠ACB = m∠ACD + m∠BCD

90° = m∠ACD + 59°

m∠ACD = 90° - 59°

              = 31°

In ΔCDB,

m∠CDB + m∠DBC + m∠DCB = 180°

90° + m∠DBC + 31° = 180°

m∠DBC = 180° - 121°

             = 59°

Therefore, measure of angle B = 59°.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.