[Video] Q10: In the figure above, segments ae and bd are parallel. if angle bdc measures 58° and angle ace measures 62°, what is the measure of angle cae?

Explanation for Question 10 From the Math (No Calc) Section on the 2019 March Sat

Question 10 says in the figure above segments, 2 a E and B D are parallel. 3 If angle BDC measures 58 degrees and angle ACEEE measures 4 62 degrees. What is the angle of C a E? 5 So let's start by filling in the information. Now we know that BDC is 6 58 degrees. So BDC is 58 7 degrees. And because that angle is 58 degrees, 8 this angle a EDC is also 58 degrees. 9 And that's because when there's a smaller triangle inside a bigger triangle 10 and the two lines are parallel, the bottom line. 11 So B D and E then the angles of the corresponding angles 12 are the angle measures of the corresponding angles are the same. 13 We also know the angle, a C E is 62 degrees. 14 So this angle is 62 degrees. 15 And we're looking for angles C a E. 16 Well, all we have to do is add 58 to 62, 17 not gives us 120 and then subtract that number from 18 180, because three angles in a triangle add up 19 together to 180. And that tells us that the third angle must 20 equal 60 degrees. 21 So the answer is.

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