In a triangle, two angles are equal and each measures twice the third angle. Find the measures of all the angles. Give solution instead of just the answer. Spam answers will be reported
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Step-by-step explanation:
Let us assume,
- The third angle of ∆ be x,
- The first angle of ∆ should be 2x,
And
- The second angle of ∆ should be 2x.
Since,
- The sum of All angles of a ∆ is 180°.
We can say that,
- ➠ (2x) + (2x) + (x) = 180°
- ➠ 5x = 180°
- ➠ x = 180°/5
- ➠ x = 36°
We find,
- The value of x is 36°.
As we assumed,
- The first angle of ∆ is 72°.
- The second angle of ∆ is 72°.
And
- The third angle of ∆ is 36°.
Finalized Answer:
- The all angles of triangle are 72°, 72° and 36°.
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