Please help. Solve the value of x
1 answer:
Answer:
x = 6
Step-by-step explanation:
<u><em>GIVEN</em></u><em> :-</em>
- An isosceles triangle with one side extended.
- Measure of one base angle = 66°
- Measure of another base angle = m∠2 = 11x°
<u><em>TO FIND</em></u><em> :-</em>
- Value of x
<u><em>FACTS TO KNOW BEFORE SOLVING</em></u><em> :-</em>
- An isosceles triangle has 2 equal sides (known as legs) & the third side (known as base).
- The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.
- In an isosceles triangle , base angles are equal in measure.
<u><em></em></u>
<u><em>PROCEDURE</em></u><em> :-</em>
As it's an isosceles triangle , it's base angles are equal .
So, m∠2 = 66°
⇒
⇒
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<h3>Answer: (-1, 1)</h3>
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Explanation:
The rotation rule we use is
The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.
For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).
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In our case, the point (-1,-1) will rotate to (-1, 1)
Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.