The sum of the measures of the angles of all triangles is 180 degrees. If one angle of the triangle measures 45 degrees, and the other two angles are equal, what is the measure of each of the other two angles?

67.5 degrees

Step-by-step explanation:

The first angle is 45 and the second angle is x and the third angle is x (the second and third are equal)

We know the 3 angles of a triangle add to 180 degrees

45+x+x = 180

Combine like terms

45+2x=180

Subtract 45 from each side

45-45 +2x = 180-45

2x= 135

Divide by 2

on each side

2x/2 =135/2

x = 67.5

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

two data sets with the same median will not have the same varaibility

step-by-step explanation: