Solve for X: Finding Values in the Equation 90+X = 3X+60

Question

Calculate X and the value of the marked angles, if possible.

90+X3X+60

Video Solution

Solution Steps

00:00 Calculate X and the angles themselves
00:03 Vertical angles are equal to each other
00:06 Compare the expressions and solve for X
00:09 Arrange the equation
00:17 Isolate X
00:21 This is the value of X

Step-by-Step Solution

To determine X X , we assume the angles are set equal based on the geometry suggested by parallel lines and a transversal:

  • Set 90+X=3X+60 90 + X = 3X + 60 , as these angles are likely equal considering the configuration.

Step-by-step solution:
1. Start by setting the equation: 90+X=3X+60 90 + X = 3X + 60 .
2. Simplify the equation by subtracting X X from both sides: 90=2X+60 90 = 2X + 60 .
3. Subtract 60 60 from both sides: 30=2X 30 = 2X .
4. Divide both sides by 2 2 to solve for X X : X=15 X = 15 .

Therefore, the solution to the problem is X=15 X = 15 .

Answer

15

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Related Subjects

Angles In Parallel Lines Collateral angles Adjacent angles Vertically Opposite Angles Alternate angles Corresponding angles Corresponding exterior angles Alternate interior angles

Question Types

Angles in Parallel Lines: Using variables