Draw an obtuse angle ABC
Draw a ray BD on the angle you just drew creating to new angles.
Angle ABD =37degrees
Angle DBC= 75 degrees
What is the measure of Angle ABC?
See your following post.
To find the measure of angle ABC, we need to add the measures of angles ABD and DBC.
Given:
Angle ABD = 37 degrees,
Angle DBC = 75 degrees.
Angle ABC = Angle ABD + Angle DBC
Angle ABC = 37 degrees + 75 degrees
Angle ABC = 112 degrees.
Therefore, the measure of angle ABC is 112 degrees.
To find the measure of angle ABC, we can use the angle sum property, which states that the sum of the measures of the three angles in a triangle is 180 degrees.
First, draw an obtuse angle ABC. An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.
Next, draw a ray BD starting from the side BC of angle ABC. This ray divides angle ABC into two smaller angles: angle ABD and angle DBC.
Given that angle ABD measures 37 degrees and angle DBC measures 75 degrees, we can find the measure of angle ABC.
Using the angle sum property of a triangle, we know that the sum of the measures of the three angles in triangle ABC is 180 degrees.
So, to find the measure of angle ABC, we subtract the measures of angles ABD and DBC from 180 degrees:
Measure of angle ABC = 180 degrees - (37 degrees + 75 degrees)
= 180 degrees - 112 degrees
= 68 degrees
Therefore, the measure of angle ABC is 68 degrees.