In a triangle, if one angle measures 40 degrees and another angle measures 60 de
Practice Questions
Q1
In a triangle, if one angle measures 40 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a transversal intersecting the line parallel to the base of the triangle?
40 degrees
60 degrees
80 degrees
100 degrees
Questions & Step-by-Step Solutions
In a triangle, if one angle measures 40 degrees and another angle measures 60 degrees, what is the measure of the angle formed by a transversal intersecting the line parallel to the base of the triangle?
Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
Step 2: Identify the angles given in the triangle: one angle is 40 degrees and another angle is 60 degrees.
Step 3: Add the two known angles together: 40 + 60 = 100 degrees.
Step 4: Subtract the sum of the known angles from 180 degrees to find the third angle: 180 - 100 = 80 degrees.
Step 5: Recognize that the angle formed by the transversal intersecting the line parallel to the base of the triangle is equal to the third angle, which is 80 degrees.
