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A = 40 B = ? C = 105
We'll start with basic knowledge of triangles. Every triangle in Euclidean geometry adds to 180 degrees in total. Angle (a) is equal to 30 degrees, since it is vertical angles with a 30-degree angle. The triangle which contains angle (a) is a right triangle, meaning one of the degree measures is 90 degrees. If you add 90 degrees and 30 degrees, you get 120 degrees. Subtract 120 degrees from the total measure of every triangle in Euclidean geometry (180 degrees) to get the measure of your missing angle (angle b).
i mean 180 - 120
I thought it couldn't be 30 degrees since the angle above it is 30 degrees
Vertical angles are always congruent in Euclidean geometry. Take the attached diagram, for example. The measure of angle 1 and angle 3 are going to be congruent (the same), and the measure of angle 2 and angle 4 are going to be congruent (the same). Here's a link to a site explaining it if you need further examples: http://www.mathwarehouse.com/geometry/angle/vertical-angles.php
oooh that make since thank you so much!♥
Thanks for the website also haha
You got it☺