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(2X-7)°
(3X+5)°
153°

(2X-7)° (3X+5)° 153°-example-1
User PERPO
by
5.8k points

1 Answer

6 votes

Answer:

x = 31°

Explanation:

The rightmost corner of the triangle is where we start.

We know that a line has 180° in it, therefore to find that angle, simply do:

180° - 153° = 27°

We also know that there are 180° in a triangle, write an equation for the triangle:

(2x-7)° + (3x+5)° + 27° = 180°

Combine like terms:

5x° + 25° = 180°

Subtract 25° from both sides:

5x° = 155°

Divide both sides by 5°:

x = 31°

User Benji XVI
by
4.8k points