Measures of two supplementary angles are consecutive odd integers find the angles
2 answers:
<h3>☀️ <u>Solution</u><u>:</u></h3>
Supplementary angles are those angles which add upto 180°. They may or may not be linear pair.
We have,
- Two consecutive odd angles.
- They are supplementary
Let,
- One of the angles be x
- Then, other angle will be x + 2°
Then,
➝ x + x + 2° = 180°
➝ 2x + 2° = 180°
➝ 2x = 178°
➝ x = 89°
Other angle = x + 2° = 91°
Answer - 89° and 91°
⚘ Hence, solved !!
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Answer:
In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Step-by-step explanation:
Given equation is -14(3a+6)=12(6-4a)+12
To simplify the given equation:
-14(3a+6)=12(6-4a)+12
Taking all terms to one side
-14(3a+6)-12(6-4a)-12=0
-[14(3a+6)+12(6-4a)+12]=0
Now dividing by negative sign on the above equation we get
14(3a+6)+12(6-4a)+12=0 (using distributive property)
42a+84+72-48a+12=0 ( adding the like terms )
-6a+168=0
-6a=-168
6a=168
Therefore a=28
Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Answer:- B. No, because the corresponding congruent angles listed are not the included angles.
Explanation:-
Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
Now, look at the attachment
We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .
⇒ B is the right option.
SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.
