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ladessa [460]
3 years ago
10

Please give real answers with an explaination. 70 points + I will follow. No Docs/No Files/No Links only answer with explainatio

n.

Mathematics
2 answers:
sesenic [268]3 years ago
6 0

Answer:

second option

Step-by-step explanation:

find angle c

angle a + angle c = 110 degree (sum of two interior opposite angle is equal to the exterior angle formed )

70 + angle c = 110

angle c = 110 - 70

angle c = 40 degree

find angle b

angle a + angle b + angle c = 180 degree (sum of interior angle of a triangle)

70 + angle b + 40 = 180

angle b + 110 = 180

angle b = 180 - 110

angle b = 70 degree

when two sides are equal the triangle can be named as isosceles triangle.

NeX [460]3 years ago
6 0

Answer:

option B

Step-by-step explanation:

∠ABD + ∠ABC = 180°            [ straight line angle ]

110° + ∠ABC = 180°

∠ABC = 180 - 110 = 70°

option A : False

Option B : True,

      Since two angles are same, the given triangle is isosceles.

option C : False

        Nothing mentioned about the sides in the figure. Though it is isosceles

      it does not mention anything about sides.

            If two angles of a triangle are congruent,

          then the sides opposite those angles are congruent.

          That is , AC = BC

Option D : False, Because only B satisfies.

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Answer:

64°

Step-by-step explanation:

Check the attachment for the diagram. Since the triangle has one of its angle as 90°, it is a right angled triangle.

Using the SOH CAH TOA trigonometry ratios:

Since ∠P is opposite to side QR,

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According to TOA

Tan∠P = Opposite/Adjacent = QR/RP

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Tan∠P = 2.05

∠P = arctan 2.051

∠P = 64°

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3 years ago
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6 0
3 years ago
Read 2 more answers
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zhenek [66]

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3 0
3 years ago
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