Angles around a point

Difficulty Standard · Set 8gb3sj

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1
4 angles meet at a point. 3 of them are 30°, 70°, 45°. What is the last one, in degrees?
2
4 angles meet at a point. 3 of them are 55°, 80°, 35°. What is the last one, in degrees?
3
4 angles meet at a point. 3 of them are 25°, 100°, 100°. What is the last one, in degrees?
4
4 angles meet at a point. 3 of them are 55°, 65°, 75°. What is the last one, in degrees?
5
4 angles meet at a point. 3 of them are 30°, 80°, 110°. What is the last one, in degrees?
6
4 angles meet at a point. 3 of them are 55°, 60°, 30°. What is the last one, in degrees?
7
4 angles meet at a point. 3 of them are 60°, 55°, 35°. What is the last one, in degrees?
8
4 angles meet at a point. 3 of them are 40°, 85°, 85°. What is the last one, in degrees?
9
4 angles meet at a point. 3 of them are 40°, 60°, 110°. What is the last one, in degrees?
10
4 angles meet at a point. 3 of them are 55°, 80°, 25°. What is the last one, in degrees?
11
4 angles meet at a point. 3 of them are 50°, 45°, 30°. What is the last one, in degrees?
12
4 angles meet at a point. 3 of them are 65°, 85°, 50°. What is the last one, in degrees?
13
4 angles meet at a point. 3 of them are 25°, 80°, 25°. What is the last one, in degrees?
14
4 angles meet at a point. 3 of them are 55°, 45°, 115°. What is the last one, in degrees?
15
4 angles meet at a point. 3 of them are 85°, 60°, 30°. What is the last one, in degrees?
16
4 angles meet at a point. 3 of them are 30°, 95°, 40°. What is the last one, in degrees?
17
4 angles meet at a point. 3 of them are 50°, 35°, 65°. What is the last one, in degrees?
18
4 angles meet at a point. 3 of them are 55°, 80°, 75°. What is the last one, in degrees?
19
4 angles meet at a point. 3 of them are 50°, 85°, 60°. What is the last one, in degrees?
20
4 angles meet at a point. 3 of them are 55°, 75°, 85°. What is the last one, in degrees?

What is in this set

The numbers in this set run from 3 to 130.
Every problem in it will meet at a point, so they add to 360°.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 46% of the problems: angles round a whole point add to 360°, not 180° — 180° is a straight line.
Answers are a whole number.

Drawing 240 problems from this page produced 235 different ones, 98% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 6 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.