Can someone please answer this for me ? thanks
2 answers:
Answer:
x=-4.5
Step-by-step explanation:
In the given triangle, Two sides are divided into equal part.
It means D and E is mid point of AB and AC.
Mid-point theorem: The line joining the mid points of sides of a triangle then line (DE) parallel to BC and DE is half of BC.
In the given figure, (Attachment)
DE = 3x+4
BC = 4x-1
[mid-point theorem]
Hence, The value of x is -4.5
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Answer:
90°
Step-by-step explanation:
Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.
Therefore,
∠ABO + ∠BOP = 180° (by interior angle Postulate)
118° + ∠BOP = 180°
∠BOP = 180° - 118°
∠BOP = 62°.... (1)
Since, ∠BOP + ∠POD = ∠BOD
Therefore, 62° + ∠POD = 152°
∠POD = 152° - 62°
∠POD = 90°.....(2)
∠POD + ∠ODC = 180° (by interior angle Postulate)
90° + ∠ODC = 180°
∠ODC = 180° - 90°