For the 60°'s topmost line, you can find the angle next to it is 120° because it's a straight line. You can do the same for 95° if you put that the angle opposite it is equal already because it's the opposite angle, so you subtract from 180° again to get 85°. When you extend the lines, you can find the alternate interior angles to the 60° and 85°, which are congruent to them. You then get that for both the formed triangles there is one 85° and one 60°, which together with one more angle should equal 180°. Through knowing that the sun of the triangles angles should be 180°, if you subtract the sum of 60° and 85° from 180°, you get the angle of the 3rd angle in the triangles (35°). This angle also forms 180° with x on a line, so 180°-35°=x, which is 145° seemingly.
Answer:
x=7
Step-by-step explanation:
6x-7 and 4x+7 are vertical angles and are thus equal. Then 6x-7 = 4x+7, or 2x = 14.
x = 7.
A. Four times a number increased by two is equal to twice the difference between the number and three
Answer:
160 degrees
Step-by-step explanation:
A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.
Let's simplify step-by-step.<span><span><span>6x</span>−<span>9x</span></span>−5</span><span>=<span><span><span><span><span>6x</span>+</span>−<span>9x</span></span>+</span>−5</span></span>Combine Like Terms:<span>=<span><span><span>6x</span>+<span>−<span>9x</span></span></span>+<span>−5</span></span></span><span>=<span><span>(<span><span>6x</span>+<span>−<span>9x</span></span></span>)</span>+<span>(<span>−5</span>)</span></span></span><span>=<span><span>−<span>3x</span></span>+<span>−5</span></span></span>Answer:<span>=<span><span>−<span>3x</span></span>−<span>5</span></span></span>
