In Exercises 27 to 35, complete the formal proof of each theorem.
The supplement of an acute angle is an obtuse angle.
(HINT: Use Exercise 28 of Section 1.4 as a guide.)
To find:
The complete formal proof of the given theorem.
Given:
The given statement is,
The supplement of an acute angle is obtuse angle.
Approach:
According to the given statement of theorem, make a drawing.
Figure (1)
From figure (1), it can be observed that given and prove for theorem is,
Given:
Prove:
The reasons for given statements is explained in table below.
Statements | Reasons |
1. |
1. Given |
2. |
2. The sum of measures of supplementary angles |
3. |
3. Given |
4. Where |
4. |
5. |
5. Substitute x for |
6. |
6. Subtract x from both sides. |
7. |
7. Substitution |
8. |
8. Add |
9. |
9. If |
10. |
10. Substitute |
11. |
11 |
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