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3 years ago

10) The second angle in a triangle is 3° less than twice the first angle. The third angle measure 8° more than

Mathematics

1 answer:

andre [41]3 years ago

8 0

Answer:

35, 67 and 78

Step-by-step explanation:

the angles are:

n, 2n-3 and 2n+8

there are 180 degrees in a triangle, so adding those terms together will give us 180

5n + 5 = 180

180 - 5 = 175

5n = 175

175 / 5 = 35

n = 35

now we have n we can put it in to the formula we have for the angles at the start:

n = 35

2n - 3 = 67

2n + 8 = 78

so the angles are

35, 67 and 78

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kupik [55]

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Karolina [17]

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(-3, -2)

Step-by-step explanation:

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3 years ago

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Alla [95]

Answer:

$m\angle B=54^{\circ}$

$m\angle BAD=36^{\circ}$

$m\angle CDA=90^{\circ}$

$BAC=72^{\circ}$

Step-by-step explanation:

Given:

$\overline{AB}\cong \overline{AC},$

$\overline{AD}$ bisects angle BAC

$m\angle C=54^{\circ}$

Triangle ABC is isosceles triangle, because $\overline{AB}\cong \overline{AC}.$ Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

$m\angle C=m\angle B=54^{\circ}$

The sum of the measures of all interior angles is 180°, so,

$m\angle B+m\angle C+m\angle BAC=180^{\circ}\\ \\m\angle BAC=180^{\circ}-2\cdot 54^{\circ}=72^{\circ}$

Since $\overline{AD}$ bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

$m\angle BAD=m\angle CAD=\dfrac{1}{2}m\angle BAC=\dfrac{1}{2}\cdot 72^{\circ}=36^{\circ}$

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3 years ago

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Darina [25.2K]

$x-\ Tanya\\
y-\ May\\\\
x=62in\\
x-17=y\\
62-17=y\\
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May\ is\ 45in\ \ tall.$

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3 years ago