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What will be x and y for this triangle

What will be x and y for this triangle-example-1
User Riolku
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By analyzing the angles in the smaller triangle and using the principle of complementary angles in a right triangle, we found that x = 10° and y = 80°.

Note: If the angle in the smaller triangle is indeed -10°, then the problem statement or image might contain an error. Please double-check the information provided.

Identify usable angles: We know the angles of the smaller triangle: 100° and 90° (right angle).

Sum of angles in a triangle: The sum of angles in any triangle is 180°. Therefore, in the smaller triangle:

x° + 100° + 90° = 180°

x° = 180° - 100° - 90°

x° = -10° (This is not a valid angle measure for a triangle. Check for errors in the image or problem statement.)

Complementary angles: In a right triangle, the two acute angles are complementary, meaning they add up to 90°. Therefore:

x° + y° = 90°

Substitute and solve for y: Since x° is negative, we need to re-evaluate the angle information. Assuming the intended angle for the smaller triangle is 10° (not -10°), we can substitute and solve for y:

10° + y° = 90°

y° = 90° - 10°

y° = 80°

Therefore:

x = 10°

y = 80°

User Khanmizan
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