To find unknown angles in a triangle, you can use the fact that the sum of the angles in any triangle always adds up to 180 degrees. Here are a couple of scenarios:
1. **Given Two Angles:**
If you are given two angles in a triangle, you can find the third angle by subtracting the sum of the given angles from 180 degrees. For example:
If angle A = 60 degrees and angle B = 45 degrees, you can find angle C as follows:
Angle C = 180 degrees - (Angle A + Angle B)
Angle C = 180 degrees - (60 degrees + 45 degrees)
Angle C = 180 degrees - 105 degrees
Angle C = 75 degrees
2. **Right Triangle:**
In a right triangle, one angle is always 90 degrees. To find the other two angles, you can use the fact that they are complementary, which means they add up to 90 degrees. For example:
If you have a right triangle with a 30-degree angle, you can find the other angle as follows:
Angle B = 90 degrees - 30 degrees
Angle B = 60 degrees
3. **Equilateral Triangle:**
In an equilateral triangle, all three angles are equal. Since the sum of the angles in any triangle is 180 degrees, you can divide 180 degrees by 3 to find the measure of each angle. For example:
Angle A = Angle B = Angle C = 180 degrees / 3 = 60 degrees
These are some examples of how you can use the properties of triangles to find unknown angles. Remember that the sum of angles in a triangle is always 180 degrees, and specific properties of certain triangles, like right triangles or equilateral triangles, can help you find angles more easily.
Answers & Comments
Answer:
To find unknown angles in a triangle, you can use the fact that the sum of the angles in any triangle always adds up to 180 degrees. Here are a couple of scenarios:
1. **Given Two Angles:**
If you are given two angles in a triangle, you can find the third angle by subtracting the sum of the given angles from 180 degrees. For example:
If angle A = 60 degrees and angle B = 45 degrees, you can find angle C as follows:
Angle C = 180 degrees - (Angle A + Angle B)
Angle C = 180 degrees - (60 degrees + 45 degrees)
Angle C = 180 degrees - 105 degrees
Angle C = 75 degrees
2. **Right Triangle:**
In a right triangle, one angle is always 90 degrees. To find the other two angles, you can use the fact that they are complementary, which means they add up to 90 degrees. For example:
If you have a right triangle with a 30-degree angle, you can find the other angle as follows:
Angle B = 90 degrees - 30 degrees
Angle B = 60 degrees
3. **Equilateral Triangle:**
In an equilateral triangle, all three angles are equal. Since the sum of the angles in any triangle is 180 degrees, you can divide 180 degrees by 3 to find the measure of each angle. For example:
Angle A = Angle B = Angle C = 180 degrees / 3 = 60 degrees
These are some examples of how you can use the properties of triangles to find unknown angles. Remember that the sum of angles in a triangle is always 180 degrees, and specific properties of certain triangles, like right triangles or equilateral triangles, can help you find angles more easily.
Verified answer
Answer:
Y=180- 50
Y=130
X=130+40=180(angle sum property
X+170=180
X=180-170
X=10