The measure of ? b is (3x – 4 )° and the measure of ? d is (2x – 6)°. what are the measures of angles b and d? m? b = ° m? d = °

B(3x-4) and D(2x-6)

first find the value of x.

3x-4 + 2x-6=90

3x+2x-4-6=90

5x-10=90

5x=90+10

5x=100 divid 5 both sides with.

u will get

x=20

then now find the angles of B and D.

B (3x-4) +D (2x-6)=90

so for angle of B° is.

3x-4=90.

B°+3(20)-4=90

B°+60-4=90

B°+56=90

B°=90-56

B=34° ANs.

for angle D°

D°2x-6=90

D°+2(20)-6=90

D°+40-6=90

D°+36=90

D°=90-36

D=56° ANs.

B = 110

and

D = 70

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.