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Vertical angles have the same angle measure. Vertical angles are formed by two intersecting lines that look like an "x". Angles that are across from each other on this "x" are called vertical angles.
X=30 2x+2x+x+30=180; All of the angles in a triangle always add up to 180. Therefore 5x+30=180; subtract 30 to be 5x by itself. Therefore 5x=150; divide by 5 to find x. Therefore X=30 2(30)+2(30)+30+30=180
Lines that form an X shape create vertical opposite equal angles
The sum of the angles in a triangle is 180. Since the ratio of the angles is 2:3:5 their measurements are 2x, 3x, and 5x. When you add them together you will get 180. So... 2x+3x+5x=180 10x+180 x=18 Since x=18 the measure of the angles are 2x=36 3x=54 5x=90 Since one of the angles is 90 we know that the triangle is a RIGHT triangle.
4(x + 5) = 2x + 8 4x + 20 = 2x + 8 2x = -12 x = -6