Vertical Angles Are Opposite Angles
What is the value of _x_?
Incorrect.
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While 25 is a value that appears in the steps to solving this question, it is not the overall answer. Be sure to answer the question and find the value for _x_.
Incorrect.
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While x _looks_ like it could have a measure around 50°, do not trust your eyes to find the correct answer. Never assume diagrams are to scale.
Start with determining the third angle measure of the left triangle.
Correct!
Remember the sum of the measures of the internal angles of a triangle is 180°.
Also note vertical angles have equal measures. Use that information to answer this question.
First find the missing angle measure in the left triangle.
$$\displaystyle 180-(90+65)=180-155=25$$
Next label the two vertical angles.
Finally, find _x_.
$$\displaystyle x = 180-(95+25)=180-(120)=60$$
Therefore, _x_ = 60.
Incorrect.
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65 is familiar since it appears in the original question and _x_ looks like it could be around 65°. Do not rely on your eyes, however, to solve this problem. Never assume diagrams are to scale.
Start with calculating the third angle measure in the left triangle.
Incorrect.
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If _x_ = 95, then the sum of the interior angles of the triangle on the right would exceed 180°. This is not possible, so you can eliminate this answer.
25
50
60
65
95
