97.3k views
5 votes
Find the value of each variable.

54°
M
46°
W
130°
K
3aº
110°

Find the value of each variable. 54° M 46° W 130° K 3aº 110°-example-1

1 Answer

3 votes

We can use the fact that the sum of angles in a triangle is 180 degrees, and the sum of angles in a quadrilateral is 360 degrees, to solve for the variables.

For the first three angles:

M = 180 - 54 - 46 = 80

W = 180 - 46 - 130 = 4

K = 360 - 54 - 130 - 46 = 130

For the last two angles:

The sum of angles in a triangle is 180 degrees, so:

3aº + 110° + 180° = 180°

3aº = -110°

This doesn't make sense, since an angle cannot be negative. Therefore, there is no solution for a that satisfies the given conditions.

Answer:

M = 80

W = 4

K = 130

There is no solution for a that satisfies the given conditions.

User Pedro Batista
by
8.5k points

Related questions

2 answers
0 votes
57.4k views
1 answer
4 votes
191k views