ABC is an isosceles triangle.
Calculate the value of x.
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ABC is an isosceles triangle.
Calculate the value of x.
As we know that triangle ABC is isosceles.
It is known that in a triangle the sum of the angles is 180.
Therefore, we can calculate in the following way:
We divide the two sections by 8:
22.5
Look at the angles shown in the figure below.
What is their relationship?
\( \)
In an isosceles triangle, the base angles (angles opposite the equal sides) are always equal. Look at the diagram - if sides AB and AC are equal, then .
Since triangle ABC is isosceles and we're given , the other base angle must also equal . This is the key property of isosceles triangles!
Always write down what you know first: , . Then use the fact that all angles sum to 180°. This systematic approach prevents setup errors.
Substitute back: , . Check: 90° + 45° + 45° = 180° ✓
Yes! With angles of 45°, 45°, and 90°, this is a 45-45-90 right triangle - a very special isosceles right triangle you'll see often in geometry.
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