Answer:
x = 22.5
Step-by-step explanation:
Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.
The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.
2x = 45
Divide both sides by 2.
x = 22.5
2x+x+x+68=180
4x=112
x=28
Angle 1: 56 degrees
Angle 2: 28 degrees
Angle 3: 96 degrees
I hope that helps.
Answer:
5 or 6 (or 2 or 7)
Step-by-step explanation:
Any quadrilateral can be covered by 2 triangles, so the integer number in 7/3 = 2 1/3 quadrilaerals will require 2×2 = 4 triangles.
The meaning of (1/3) trapezoid determines the number of additional triangles required. If 1/3 trapezoid is a triangle, only one is needed. If 1/3 trapezoid is a quadrilateral, then 2 triangles are needed.
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If the 7/3 trapezoids are butted against each other so they make a larger quadrilateral figure, then only 2 triangles are needed.
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If each trapezoid is constructed from 3 equilateral triangles, and you want to know the total number of those equilateral triangles in 7/3 such figures, it will be 3 × 7/3 = 7.
The answer depends on problem details not provided here.
