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
Indicates which angle is greater
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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