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Find the measures of B and D given that m|n

Find the measures of B and D given that m|n-example-1
User Luhn
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The measure of the angles b and d, obtained using the same side interior angle theorem and linear pair property are;

13. m∠b = 60.7°, m∠d = 43.1°

The details of the steps by which the measure of the above angles are found are as follows;

The angle b and the 119.3° angle are same side interior angles formed between parallel lines, therefore, according to the same side interior angles theorem, we get;

119.3 + b = 180°

b = 180 - 119.3

b = 60.7°

The angle d is a linear pair angle with the 136.9° angle, therefore the angles d and the 136.9° angle are supplementary, and we get;

d + 136.9° = 180°

d = 180 - 136.9

d = 43.1°

User IanH
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