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

Question

Look at the following parallelogram.

Calculates the size of the 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 parallels, we have 2 pairs of parallel lines.

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

$ADB=DBC=44$

Now we can calculate angle ABC:

$ABC=ABD+DBC$

Let's substitute the known values:

$ABC=40+44=84$

Answer

Related Subjects

Question Types

Angles in Parallel Lines: Using additional geometric shapes