Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
Answer:
150 and 30
Step-by-step explanation:
Hello!
Supplementary angles are angles that when added up equal 180
Which can be shown by
x + x = 180
Since one has to be 5 times bigger we put a 5 in front of one of the x's
5x + x = 180
5x is an angle and x is the other
Now we solve for x
5x + x = 180
Combine like terms
6x = 180
Divide by 6
x = 30
Now we put that into each angle
5(30) = 150
30
The answer is 150 and 30
Hope this Helps!
U think it’s 40 cuz 8 x40 equal 320 ;-; if it’s wrong my name will come to use
Where did the 9 and 2 come from
The answer is the option A, which is: A. Equilateral triangles.
The explanation for this answer is shown below:
By definition, a tetrahedron is a solid in three dimensions that has: six sides, four vertices and four triangular faces. These faces are equilateral triangles, which means that all the sides are equal and all the interior angles measure 
degrees.
The tetrahedron is also called "triangular pyramid".
