An angle measures 78° more than the measure of its supplementary angle. what is the measure of each angle?

51° and 129°

Step-by-step explanation:

let x be the measure of one angle then x + 78 is the measure of the other

Supplementary angles sum to 180°, hence

x + x + 78 = 180, that is

2x + 78 = 180 ( subtract 78 from both sides )

2x = 102 ( divide both sides by 2 )

x = 51

Hence

the angles are 51° and 51 + 78 = 129°

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.