The statement is False.
Right triangles don't all look the same.
When two triangles are similar, their corresponding angles and sides must be equal and proportional.
Although right triangles have the same attribute of having a single 90-degree angle, they might differ in their side lengths and angles, therefore they are not always comparable.
The relationship between a triangle's angles and side lengths determines how similar they are.
Only when the side lengths of two right triangles are proportionate and all of their angles, including the right angle, are congruent can two right triangles be said to be similar.
Hence the statement is false.
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True Or False?
Prove: m∠A=72°
Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
For this case, we have that by definition, in a parallelogram, the opposite angles are congruent, that is, they are equal. So, given the measurements of two opposite angles of a parallelogram, we have:
Clearing "n":
Subtract "n" from both sides of the equation:
We subtract 30 from both sides of the equation:
Thus, the value of n is 15.
Answer:
Opposite angles in parallelogram are equal so the answer will be;
2n+30=n+45
2n-n=45-30
n=15