The table below shows claude's assets and liabilities. what is the total value of his assets
2 answers:
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Step-by-step explanation:
<h3>Need to FinD :</h3>- We have to find the measures of other two angles of triangle.
We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
Second AnglE :
- 3x
- 3 × 10
- 30°
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
Third AnglE :
- 14x
- 14 × 10
- 140°
∴ Hence, the measure of the third angle of the triangle is 140°.
The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
Learn more about parallelogram on:
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