2012 CEMC Gauss (Grade 7) Problems/Problem 5: Difference between revisions
Created page with "==Problem== Two straight lines intersect as shown. The measure of the angle marked <math>\boxed { }</math> is <math> \text{ (A) }\ 60^{\circ} \qquad\text{ (B) }\ 120^{\circ}..." |
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Two straight lines intersect as shown. | Two straight lines intersect as shown. | ||
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The measure of the angle marked <math>\boxed { }</math> is | The measure of the angle marked <math>\boxed { }</math> is | ||
Latest revision as of 11:14, 22 April 2025
Problem
Two straight lines intersect as shown.
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
The measure of the angle marked
is
Solution 1
Since
degrees and the missing angle forms a straight angle, we have:
Thus,
Solution 2
Since the
angle and the missing angle are vertical angles, they are equal to each other.
Thus,