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21 votes
How do you find ‘a’?

How do you find ‘a’?-example-1
User Maresh
by
3.4k points

2 Answers

2 votes
2 votes

Answer:

a = 105°

Explanation:

Use the supplements of the angles near A and B.

180 - 140 = 40

The interior angle near A measures 40°.

180 - 145 = 35

The interior angle near B measures 35°

Now use the sum of the measures of the angles of a triangle:

The sum of the measures of the interior angles of a triangle is 180°

a + 40 + 35 = 180

a + 75 = 180

a = 105

User Mitsuaki Ishimoto
by
3.1k points
8 votes
8 votes

Answer:

a = 105 degrees

Explanation:

straight line = 180 degrees

180 - 140 = 40 degrees

180 - 145 = 35 degrees

total angles of triangle = 180 degrees

a + 40 + 35 = 180

a + 75 = 180

a = 105 degrees

User RichardMiracles
by
4.0k points