Can someone please help me with this question, I have multiple of them and have no idea where to start. If you can help me with this please show how you got it because im clueless

Step-by-step explanation:

m ∠ D + m ∠ E + m ∠ F = 180°

m ∠ D = m ∠ F - 14

m ∠ E = 2( m ∠ F ) + 10

m ∠ F - 14 + 2( m ∠ F ) + 10 + m ∠ F = 180°

4( m ∠ F ) = 180 + 4

m ∠ F = 46 °

m ∠ E = 2 × 46 + 10 = 102 °

m ∠ D = 46 - 14 = 32 °

D = 32°

E = 102°

F = 46°

Step-by-step explanation:

The measure of angle D is 14 less than the measure of angle F

⇒ D = F - 14

The measure of angle E is 10 more than twice the measure of angle F:

⇒ E = 2F + 10

So we have now constructed two equations:

Equation 1:  D = F - 14

Equation 2:  E = 2F + 10

Also, we know that the sum of the interior angles of a triangle is 180°.

Therefore, D + E + F = 180

Substitute the two equations we have constructed for D and E into the sum of the interior angles equation and solve for F

     D + E + F = 180

⇒ (F - 14) + (2F + 10) + F = 180

⇒ 4F - 4 = 180

⇒ 4F = 180 + 4 = 184

⇒ F = 184 ÷ 4

⇒ F = 46°

Now substitute the found value of angle F into the two equations for D and E:

   D = F - 14

⇒ D = 46 - 14

⇒ D = 32°

   E = 2F + 10

⇒ E = 2(46) + 10

⇒ E = 92 + 10

⇒ E = 102°

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol