angles c and d are parallel and p is transversal. if m<5=110 degrees find the measure of each angle.
I n the need help undrstanding how to find the measures of the angles <6, <2, <8, and <4.
You probably meant to say,
lines c and d are parallel...
angles cannot be "parallel"
secondly you are probably looking at a diagram which we don't see, so we don't know how your angles are numbered.
There is probably a cluster of 4 angles at one intersection and another cluster of 4 at the other.
the angle opposite to #5 must equal 110
and the angle beside #5 forming the straight line must be 70 degrees.
the corresponding angle to #5 in the other cluster must also be 110.
Work your way around the other angles the same way I did above.
thanks a bunch.
To find the measures of angles <6, <2, <8, and <4, we need to use the properties of parallel lines and transversals. Angle measures can be determined based on the relationships between the different angles formed.
Since angle 5 is given as 110 degrees, we can start by identifying the relationships between angle 5 and the other angles mentioned.
Angle 5 and angle 6 are alternate interior angles, which means they are congruent. Therefore, the measure of angle 6 is also 110 degrees.
Angle 5 and angle 2 are corresponding angles, which means they are congruent. Therefore, the measure of angle 2 is also 110 degrees.
Angle 5 and angle 8 are a pair of alternate exterior angles, which means they are congruent. Therefore, the measure of angle 8 is also 110 degrees.
Finally, angle 5 and angle 4 are corresponding angles, which means they are congruent. Therefore, the measure of angle 4 is also 110 degrees.
To summarize:
- Angle 6 = 110 degrees
- Angle 2 = 110 degrees
- Angle 8 = 110 degrees
- Angle 4 = 110 degrees
I hope this explanation helps you understand how to find the measures of the angles. Let me know if you have any further questions!
To find the measures of angles <6, <2, <8, and <4 in the given scenario, we need to use the properties of parallel lines and transversals.
Since angles c and d are parallel lines and p is a transversal, we can conclude that corresponding angle pairs are congruent. In other words, angles in the same relative position on the same side of the transversal will have the same measure.
In this case, we are given that m<5 = 110 degrees. We can use this information to find the measures of the other angles:
1. Angle <6 is corresponding to angle <5 since they are in the same relative position on the same side of the transversal. Therefore, m<6 = m<5 = 110 degrees.
2. Angle <2 is an alternate interior angle with angle <5 since they are on opposite sides of the transversal and between the parallel lines. Therefore, m<2 = m<5 = 110 degrees.
3. Angle <8 is corresponding to angle <5 since they are in the same relative position on the other side of the transversal. Therefore, m<8 = m<5 = 110 degrees.
4. Angle <4 is an alternate interior angle with angle <5 since they are on opposite sides of the transversal and between the parallel lines. Therefore, m<4 = m<5 = 110 degrees.
So, the measures of angles <6, <2, <8, and <4 are all equal to 110 degrees.