Finding X in an Isosceles Triangle

The video tutorial guides viewers through solving for a missing angle in a triangle. It begins by identifying the polygon as a triangle and further classifies it as an isosceles triangle. The tutorial explains the properties of isosceles triangles, focusing on congruent sides and angles. It then applies the triangle sum theorem to set up an equation involving the triangle's angles. Finally, the tutorial demonstrates solving the equation to find the missing angle, X, which is determined to be 74 degrees.

What is the first step in solving for X in the given problem?

• Calculating the perimeter

• Measuring the angles

• Finding the area

• Identifying the type of polygon

Tags

CCSS.3.MD.D.8

How many sides does the polygon in the problem have?

• Four

• Three

• Six

• Five

Tags

CCSS.2.G.A.1

What type of triangle is identified in the problem?

• Equilateral

• Scalene

• Isosceles

• Right

Tags

CCSS.4.G.A.2

What is the defining property of an isosceles triangle?

• All sides are equal

• Two sides are equal

• All angles are equal

• It has a right angle

Which sides are congruent in the given isosceles triangle?

• None of the above

• RS and ST

• RS and RT

• RT and ST

What is the measure of the non-congruent angle in the triangle?

• 45 degrees

• 90 degrees

• 32 degrees

• 74 degrees

Tags

CCSS.8.G.A.5

What theorem is used to solve for X in the triangle?

• Triangle Sum Theorem

• Pythagorean Theorem

• Isosceles Triangle Theorem

• Congruent Angles Theorem

Tags

CCSS.HSG.CO.C.9

What is the sum of the interior angles of a triangle?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

Tags

CCSS.8.G.A.5

What is the value of X after solving the equation?

• 84 degrees

• 32 degrees

• 74 degrees

• 64 degrees

Tags

CCSS.8.G.A.5

What is the final step in verifying the solution for X?

• Calculating the area

• Measuring the sides

• Adding the angle measurements

• Checking the perimeter