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LenaWriter [7]
3 years ago
8

HELP PLS I DONT GET THIS WILL GIVE BRAINLIEST

Mathematics
2 answers:
Mila [183]3 years ago
6 0

Step-by-step explanation:

This can be a little brain bending but try to imagine rotating ∆DOG to the left once. The bottom side is now OGD. Now, the triangles will look similar. Here is the rule:

The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides.

so, side CA is equal to side DO. Side CT is equal to side DG, and side AT is equal to side OG. The answers to the first column are:

CA=8.5m

AT=5m

DG=12m

Now, because the sides are equal, the angles are equal:

>T is the same as >G. =70°

>A is the same as>O = 57°

The angles of a triangle have to add up to 180°, so

70° + 57° = 127°

180°- 127° = 53°

So, angles D and C equal 53°.

How this helps.

kicyunya [14]3 years ago
3 0

The triangles are the same

CA= 8.5

AT=5

DG=12

T=70

O=57

C=53

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16. Two parallel lines are cut by transversal. Angles with measures (6x+20)^{\circ} and (x+100)^{\circ} are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

6x+20=x+100\\ \\6x-x=100-20\\ \\5x=80\\ \\x=16

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17. Two parallel lines are cut by transversal. Angles with measures (2x+12)^{\circ} and (3x-22)^{\circ} are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

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18. Two parallel lines are cut by transversal. Angles with measures (6x-7)^{\circ} and (5x+10)^{\circ} are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

6x-7=5x+10\\ \\6x-5x=10+7\\ \\x=17

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19. The diagram shows two complementary angles with measures 2x^{\circ} and 56^{\circ}. The measures of complementary angles add up to 90^{\circ}, then

2x+56=90\\ \\2x=90-56\\ \\2x=34\\ \\x=17

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2x^{\circ}=2\cdot 17^{\circ}=34^{\circ}

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