Question

write and solve an equation to find the size and angle of x

Answer 1

Step-by-step explanation:

Determine the Type of Triangle

• Examine the triangle and try to locate a small square marking one of the angles. If there is a square, this is a right triangle and the angle so marked is 90 degrees.

• Look to see if there are two half-circles on the base angles. If it is an isosceles triangle, the two base angles will each have a half-circle with a line through it to denote that these angles are the same size.
• Solving for X in a Right Triangle
• Add 90 degrees for the right angle to the degree measurement of the other marked angle. This measurement will be found inside the triangle at the angle that is not denoted by the X variable.
• Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees.

Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Solving for X in an Isoscele Triangle

• Locate the two base angles that are marked with half-circles with lines through them. These two angles are the same size.

• Multiply the measurement given for one of the angles by two, if these angles have a measurement given. In this case you are solving for X at the vertex. Subtract the doubled measurement of the angles from 180. This is the value of the X angle at the vertex.

• Subtract the measurement of the vertex angle from 180, if you are only given the measurement of the vertex angle. Divide the difference of the subtraction by two. This will give you the value of X at either of the base angles.