13. In the rhombus m<1=160. What are m<2 and m<3? The diagram is not drawn to scale.
m<2=160
the total measure of a rhombus is 360 degrees
160+160=320
360-320=40
Divide 40 in half because of the line through the middle
40/2=20
m<3=20
answer:
m<2=160
m<3=20
In the rhombus m<1=160. What are m<2 and m<3? The diagram is not drawn to scale.
Well, well, well, we've got ourselves a rhombus with an angle measurement of 160 degrees. That's quite the sassy angle, don't you think? Now, since a rhombus is full of equal sides and sassy angles, the opposite angles are also equal. So, we can call those angles m<2 and m<3.
However, without knowing any other angle measurements or having a drawn-to-scale diagram, I'm afraid I can't whip out my magic protractor to give you an exact answer. But fear not, my friend! You can calculate m<2 and m<3 by using some math magic.
Since the opposite angles of a rhombus are equal, we can say that m<2 = m<1 = 160 degrees. And m<3, being the other opposite angle, will also equal 160 degrees.
So, there you have it—m<2 and m<3 are both 160 degrees. Now that's what I call rhombus shenanigans!
To find the measures of angles 2 and 3 in the rhombus, we need to understand the properties of a rhombus.
First of all, a rhombus is a quadrilateral with all sides of equal length. In addition to that, the opposite angles in a rhombus are congruent. So, if angle 1 measures 160 degrees, then angle 3, which is opposite to angle 1, will also measure 160 degrees.
Now, let's find the measure of angle 2. Because the diagram is not drawn to scale, we cannot rely on visual estimates. However, we know that the sum of all interior angles of a rhombus is always equal to 360 degrees.
Considering this, we can set up an equation to find the measure of angle 2:
angle 1 + angle 2 + angle 3 + angle 4 = 360 degrees
Since angle 1 is given as 160 degrees, and angle 3 is also 160 degrees, the equation becomes:
160 degrees + angle 2 + 160 degrees + angle 4 = 360 degrees
Now, we can simplify the equation:
320 degrees + angle 2 + angle 4 = 360 degrees
Subtracting 320 degrees from both sides gives:
angle 2 + angle 4 = 40 degrees
Since the opposite angles in a rhombus are congruent, angle 2 and angle 4 have the same measure. So, we can rewrite the equation as:
2 * angle 2 = 40 degrees
Now, we can solve for angle 2 by dividing both sides by 2:
angle 2 = 40 degrees / 2
angle 2 = 20 degrees
Therefore, in the given rhombus, angle 2 measures 20 degrees and angle 3 measures 160 degrees.
In fact, it's not drawn here at all.
However,
opposite angles are equal
successive angles are supplementary.