Geometry word problems involves geometric figures and angles described in words. You would need to be familiar with the formulas in geometry.
Making a sketch of the geometric figure is often helpful.
In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
Step 1: Assign variables:
Let x = size of one of the two equal angles
Sketch the figure
Step 2: Write down the sum of angles in quadrilateral.
The sum of angles in a quadrilateral is 360°
Step 3: Plug in the values from the question and from the sketch.
360 = x + x + (x + x) + 2(x + x + x + x) – 60
Combine like terms
360 = 4x + 2(4x) – 60
360 = 4x + 8x – 60
360 = 12x – 60
Isolate variable x
12x = 420
x = 35
The question requires the values of all the angles.
Substituting x for 35, you will get: 35, 35, 70, 220
Answer: The values of the angles are 35°, 35°, 70° and 220°
Word Problems Involving Geometric Shapes, Rectangle, Triangle, Square
This video shows how to solve three word problems, each a bit more challenging, from length of a rectangle, to angles of a triangle, to finding the length of each side of a triangle that is compared to a square.
(Algebra 1) Word Problems - Geometry and Angles
Measurement and angles problem
The sum of the supplement and the complement of an angle is 130 degrees.
Find the measure of the angle.
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