Answer:
∠1 = 36°
Step-by-step explanation:
All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.
<h3>Exterior angles</h3>
The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...
10(∠1) = 360°
∠1 = 36° . . . . . . . . divide by 10
Answer:
341 senior tickets were sold
Step-by-step explanation:
Given: NQ = NT , QS Bisect NT(∴ NS=ST ) , TV Bisects QN (∴ NV=VQ )
To Prove: QS=TV
Proof: In ΔNQT
NQ=NT

∴ VQ=ST
In a isosceles triangle, If two sides are equal then their opposites angles are equal.
∴ ∠NQT=∠NTQ ( ∵ NQ=NT)
In ΔQST and TVQ
ST=VQ (sides of isosceles triangle)
∠NQT=∠NTQ (Prove above)
QT=TQ (Common)
So, ΔQST ≅ TVQ by SAS congruence property
∴ QS=TV (CPCT)
CPCT: Congruent part of congruence triangles.
Hence Proved
Answer:
15/24
Step-by-step explanation:
3/4 * 5/6 = 15/24
3*5=15
6*4=24