Match the reasons with the statements in the proof to prove that triangle abc is congruent to triangle abd, given that ab ⊥ bd, ab ⊥ bc, and ac = ad.

given:

ab ⊥ bd

ab ⊥ bc

ac = ad

prove:

△abc ≅ △abd

1. ab ⊥ bd, ab ⊥ bc, ac = ad

given
2. ∠abc and ∠abd are right angles

perpendicular lines form right angles
3. ab = ab hypotenuse -

leg postulate
4. △ abc ≅ △ abd

reflexive property of equality

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180