Similar triangle the measure of the angles is equal. The two triangles that are similar triangles are Triangle 1: 94°, 64° and Triangle 2: 22°, 64°.
What are Similar triangles?
Two triangles are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol " ~".
As we know that for two triangles to be similar, the measure of the angles of the triangle is equal. Also, the sum of all the angles of the triangle, Therefore, Let's check,
Triangle 1: 32°, 40° Triangle 2: 108°, 60°
As we can see that the measure of the two angles of the triangle is not equal, therefore, their third side will also be not equal.
Triangle 1: 94°, 64° Triangle 2: 22°, 64°
Now, since the measure of the one angle of both the triangle, is the same, therefore, we will find the third side of the triangle,
Traingle1:
94° + 64° + x° = 180°
x° = 22°
Traingle2:
22° + 64° + x° = 180°
x° = 94°
Hence, the two triangles are similar triangle because the measure of the angles of triangle 1 is equal to the measure of the angles of triangle 2.
Triangle 1: 70°, 80° Triangle 2: 70°, 20°
Now, since the measure of the one angle of both the triangle, is the same, therefore, we will find the third side of the triangle,
Traingle1:
70° + 80° + x° = 180°
x° = 30°
Traingle2:
70° + 20° + x° = 180°
x° = 90°
Hence, the two triangles are not similar triangles because the measure of the angles of triangle 1 is not equal to the measure of the angles of triangle 2.
Learn more about Similar Triangles:
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