200k views
24 votes
Can u plz help me with these questions it’s polygon geometry

Can u plz help me with these questions it’s polygon geometry-example-1
User Tharkius
by
7.9k points

1 Answer

9 votes

Answer:

B, C, 45°

Explanation:

16.

B. If two figures are congruent then they are similar too because the corresponding angles are congruent and the sides are in proportion (1 to 1 is the proportion if the similar triangles are congruent)

17.

The sum of interior angles in a quadrilateral must be 360°

77+90+6x+8 +9x-10 = 360, add interior angles of the quadrilateral

6x+9x +77+90+8-10 = 360, group like terms

15x +165 = 360, combine like terms

15x = 360 -165, subtract 165 from both sides

15x = 195, divide both sides by 15

x= 13

∡ E = 6x + 8 = 6*13 +8 = 78 +8 = 86 (answer C)

18.

Ratio of angles of a triangle are 3:4:5 and we know that the sum of angles have to be 180°

3x+4x+5x = 180, to keep the proportions we need to find x

12x = 180, add like terms

x= 15, divide both sides by 12

3*x : 4*x : 5*x , the proportion that is given

3*15: 4*15: 5*15, the proportion of our angles

45: 60: 75, the angles that are in proportion 3:4:5 and add up to 180°

The smallest angle is 45°

User Cromod
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories