Answer:
x = 30
y = 120
Step-by-step explanation:
The outside triangle is equilateral, so the angles at its vertices are all 60°. The inside triangle is isosceles, so the unmarked angle at bottom right is also x°. This means ...
x° +30° = 60°
x = 30 . . . . . . . divide by °, subtract 30
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The angles of a triangle total 180°, so the angles in the smaller triangle add up to ...
x° +y° +x° = 180°
y° +2(30°) = 180°
y = 120 . . . . . . . . . . divide by °, subtract 60
