Answer:
Step-by-step explanation:
120
Answer:
This proof involves the definitions of congruence and supplementary angles, as well as some of the properties of equality.
∠1 and ∠2 are supplementary // given
∠3 and ∠4 are supplementary // given
∠1 ≅ ∠3 // given
m∠1 + m∠2 = 180° // definition of supplementary angles
m∠3 + m∠4 = 180° // definition of supplementary angles
m∠1 + m∠2 = m∠3 + m∠4 // transitive property of equality
m∠1 = m∠3 // definition of congruent angles
m∠1 + m∠2 = m∠1 + m∠4 // substitution property of equality (replaced m∠3 with m∠1)
m∠2 = m∠4 // subtraction property of equality (subtracted m∠1 from both sides)
∠2 ≅ ∠4 // definition of congruent angles
hope this helps
Step-by-step explanation:
All you have to do is draw a net in the box.
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Answer:
see explanation
Step-by-step explanation:
(a)
The angle around the centre O of the circle = 360°, then
∠ AOB = 360° - 260° = 100°
Δ AOB is isosceles ( the radii OA and OB are congruent )
The altitude from O bisects ∠ AOB , thus
y = 50°
Since the triangle is isosceles the 2 base angles are congruent, so
x = 
= 
= 40°
(b)
∠ POR = 360° - 254° = 106°
Δ POR is isosceles (the radii OP and OR are congruent ) , then
the 2 base angles are congruent , thus
a = 
= 
= 37°
