If CB ⊥ AB and m∠A = 60, what is the measure of ∠C?
60 + C + 90 = 180
C = 30
CD || AB
so if CB�ÛAB then that mean what?
right angle of 90. SO, if CD and AB are parallel that mean C=90 while
A=60
B=90
C=90
D=120
ALL trapazoids are 360 degrees.
To find the measure of ∠C, we need to use the information given in the question and apply basic geometric concepts.
First, let's understand the given information:
CB ⊥ AB means that line CB is perpendicular to line AB, which indicates that the angle between CB and AB is 90 degrees.
We also know that m∠A = 60 degrees, which means that angle A has a measure of 60 degrees.
Now, let's analyze the triangle ABC:
Triangle ABC is a right triangle because CB is perpendicular to AB. Angle B is the right angle (90 degrees).
Since angle A is given as 60 degrees, the sum of angles A and C should be equal to 90 degrees (because angle B is 90 degrees).
Let's denote the measure of angle C as x. Thus, we have:
∠A + ∠C = 60 degrees + x = 90 degrees.
To find the value of x, we rearrange the equation:
x = 90 degrees - 60 degrees = 30 degrees.
Therefore, the measure of ∠C is 30 degrees.