johnsonmom200484 johnsonmom200484
  • 21-08-2019
  • Mathematics
contestada

∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10 .



What is m∠D ?

Respuesta :

matheaar000
matheaar000 matheaar000
  • 21-08-2019
The measure of angle D is 62
Answer Link
jimrgrant1 jimrgrant1
  • 21-08-2019

Answer:

∠D = 14°

Step-by-step explanation:

Vertical angles are congruent, hence

2x - 10 = - x + 26 ( add x to both sides )

3x - 10 = 26 ( add 10 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Hence

∠D = 2x - 10 = (2 × 12) - 10 = 24 - 10 = 14°

Answer Link

Otras preguntas

Why did trade and travel decline after the fall of Rome?
Which word is the past form of a regular verb? A. came B. wrote C. built D. spilled
What were four factors that contributed to industrialization in Britain?
Which circles have a circumference of 24π units? Choose all answers that are correct. A. a circle with a radius of 6 units B. a circle with a radius of 12 units
The base of a parallelogram is28.4 centimeters the height is one fourth of the base. What the area of the parallelogram?
A cylindrical can holds 500 mL and has a radius of 4 cm. Calculate the height of the can, to the nearest tenth of a centimetre.
A line has slope 2/5 and passes through the point P(2,7) find the equation
Which word is the past form of a regular verb? A. came B. wrote C. built D. spilled
. Which equations show direct variation between x and y? Choose all answers that are correct. A. 3x = Y B. Y = 4.2/x C. y/x = 6 D. Y =0.5x + 9
what is the reciprocal of the number 2