Answer:
<em>m∠ABC = 90° , m∠ABE = 30° , m∠EBC= 45°</em>
Step-by-step explanation:
If I were to remember correctly;
m∠ABC = 90°
m∠ABE = 30°
m∠EBC= 45°
Hope you're doing alright during the quarantine. Best of luck!
Answer:
and
Step-by-step explanation:
An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures 134°, then;
x + x + 134° = 
2x + 134° =
2x = - 134°
= 46
x = 
=
x =
The other angles that could be in the isosceles triangle are and .
Answer:
5 questions
Step-by-step explanation:
5 wrong = 80%
Good job !
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21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:
6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14
22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:
180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35
23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:
45 = 13x - 7.
we add seven to both sides and divide by 13.
4 = x
