Which best describes the type of triangle What is the value

Which best describes the type of triangle? What is the value of x id Delta ABC is equilateral? Use the figure to the right for Questions 13 and 14. What is the m 27? What is m 4? What are the congruent triangles in the diagram? If Delta CJW Delta AGS, m A = 50, m J = 45, and m S = 16x + 5, what is the value of x? Write a two-column proof Given: AB CB, D is the midpoint of AC. Prove: Delta ABD Delta CBD

Solution

Solution:

11. Since it has right angle . therefore it is an right tringle

12. Given that triangle is equilateral therefore

each sides of the triangle are equal

AB = AC = BC

AB = AC

7.5 x = 10x-5

2.5x = 5

x = 2

thus

AC = 10x -5

= 20-5 = 15

BC=15 and AB = 15

13.

from figure

m1 = 60 ( vertically opposite angles are equal)

Now

In a given traingle sum of all angles are 180

70 + 60 + m2 = 180

m2 = 180 - 60-70

m2 = 50

answer

14.

again in triangle

m3 + 40 +60 = 180

m3 = 180-100

m3 = 80

again

m3 + m4 = 180 ( sum of angle on straight line = 180 )

m4 = 180 -80

m4 = 100

Answer