The measures of two angles in a linear pair add to 180 deg.
m<1 + m<2 = 180
2x + 20 + 48x = 180
50x + 20 = 180
50x = 160
x = 3.2
m<1 = 2x + 20 = 2(3.2) + 20 = 6.4 + 20 = 26.4
m<2 = 48x = 48(3.2) = 153.6
Answer: m<1 = 26.4 deg; m<2 = 153.6 deg
(a) 145.86 + 52.91 + 17.63 = 216.4
(b) 17.63/216.4 × 100% = 8.15%
(c) 52.91 + 17.63 / 216.4 × 100% = 32.60%
The definition of supplementary is that the angles add to 180°. Hence, <em>c + d = 180; c + 45 = 180 </em>by substitution and finally ∡c = 135°.
a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.
b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.
<h3>What are supplementary angles?</h3>
Two angles are called supplementary angles if the sum of their measures has a value of 180º.
The measures of the angles in this problem are given as follows:
Then the sum of the measures of this angles is given as follows:
90 + 70 = 160º.
Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.
A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480
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5 and 7 that’s the answer
