Calculate Angle ABC in Parallelogram with Given Angles 40° and 44°

Question

Look at the parallelogram below and calculate the size of angle $∢\text{ABC}$ .

Video Solution

Solution Steps

00:00 Calculate angle ABC

00:08 Alternate angles are equal between parallel lines

00:20 The angle equals the sum of its parts

00:25 Therefore, let's sum up the angles to get the angle itself

00:29 Let's substitute appropriate values and solve

00:45 And this is the solution to the question

Step-by-Step Solution

Since we are dealing with a parallelogram, there are 2 pairs of parallel lines.

As a result, we know that angle ADB and angle DBC are alternate angles between parallel lines and therefore both are equal to each other (44 degrees):

$ADB=DBC=44$

Now we can calculate angle ABC as follows:

$ABC=ABD+DBC$

Finally, let's substitute in our values:

$ABC=40+44=84$

Answer

Related Subjects

Question Types

Angles in Parallel Lines: Using additional geometric shapes