Answer:
28
Step-by-step explanation:
Since, Sum of triangle is equal to 180°
180 = 2x + 50 + 3x - 10
180 = 5x + 40
180 - 40 = 5x
140 = 5x
140/5 = x
28 = x
<span>3/8 is left is the correct answer if multiple choice
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Answer:
Step-by-step explanation:
Answer:
x = 2.3
Measure of arc XY = 76° ⇒ answer (D)
Step-by-step explanation:
∵ arc XY congruent to arc YZ
∴ XY = YZ ⇒ chords subtended by equal arcs are equal
∴ 3x = 6.9 ⇒ x = 6.9/3
∴ x = 2.3
In ΔOXY
∵ OX = OY radii
∴ m∠OXY = m∠OYX
∵ m∠OXY = 52°
∴ m∠OYX = 52°
∵ The sum of angles of a Δ = 180°
∴ m∠XOY = 180 - 2 × 52 = 76°
∵ ∠XOY is central angle subtended by arc XY
∴ The measure of arc XY = m∠XOY = 76°
Step-by-step explanation:
✧ 
- Set up an equation and solve for x :
⋆
[ Exterior angle is always equal to the sum of two non - adjacent interior angles ]
~Remove the unnecessary brackets
⟶ 
~Add the like terms : 2x ° & 3x°
⟶ 
~Move 4x to right hand side and change it's sign
~Similarly move 12 to left hand side and change it's sign
⟶ 
⟶ 
⟶ 
- Now , Substituting the value of x in (4x+9)° [ Exterior angle ]
⤿ 
☥ 
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