On parallelogram ABC∧ mΔA=42 mΔB=___ mΔC___ mΔD=___
1 answer:
The measures of the <em>remaining</em> angles of the parallelogram are m ∠ B = 138°, m ∠ C = 42° and m ∠ D = 138°
<h3>How to determine the measure of missing angles in a parallelogram by geometric theorems</h3>
In this problem we know the measure of an angle and we should find the values of the three <em>remaining</em> angles. According to <em>Euclidean</em> geometry, the sum of <em>internal</em> angles in a parallelogram equals 360° and there exists the following property between each pair of angles:
- m ∠ A = m ∠ C
- m ∠ B = m ∠ D
- m ∠ A + m ∠ B = m ∠ B + m ∠ C = m ∠ C + m ∠ D = m ∠ A + m ∠ D = 180°
Then, the measures of the missing angles are, respectively:
m ∠ B = 180° - m ∠ A
m ∠ B = 180° - 42°
m ∠ B = 138°
m ∠ D = 138°
m ∠ C = 42°
<h3>Remark</h3>
The statement is poorly formatted, presents typing mistakes and image is missing, correct form is shown below:
On parallelogram ABCD, m ∠ A = 42, m ∠ B = ____, m ∠ C = _____, m ∠ D = _____
A representation of the parallelogram is shown in the image attached below.
To learn more on parallelograms: brainly.com/question/1563728
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