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Alinara [238K]
3 years ago
6

If angle TIK is congruent to angle TOK and < 1 = (5x + 8), < I = 92, and < O is 50. What is the measure of <1? Expla

in your reasoning?​
Mathematics
2 answers:
yaroslaw [1]3 years ago
5 0

Answer: <1= 38 and x= 6

Step-by-step explanation: the sum of the angles of a triangle are equal to 180 degrees. Subtract 92 and 50 from 180 to get your answer.

Temka [501]3 years ago
3 0

Answer: <1= 38 and x= 6

Step-by-step explanation: the sum of the angles of a triangle are equal to 180 degrees. Subtract 92 and 50 from 180 to get your answer.

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Answer:

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Step-by-step explanation:

Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.

Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.

Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.

In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.

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