Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles

In ΔABC,

∠1 + 90 + 38 = 180 {angle sum property of triangle}

∠1 + 128 = 180

∠1 = 180 - 128

$\sf \boxed{\bf \angle 1 = 52^ \°}$

AB // CD and AC is transversal.

$\sf \boxed{\bf \angle 3 = 38^\circ}$ {Alternate interior angles are equal}

In ΔACD,

∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

∠2 + 38 +63 = 180

∠2 + 101 =180

∠2 = 180 - 101

$\sf \boxed{\bf \angle 2 = 79^ \°}$

5 0

1 year ago

A diagonal support beam is attached to the gate of a fence as shown. Which angles must be congruent in order for the top and bot

ludmilkaskok [199]

Answer:

3 and 2

Step-by-step explanation:

4 0

2 years ago

What is the value of b2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

Orlov [11]

For you to make an equation a quadratic equation, you need everything to be on one side, so you add one to both sides.

2x^2 + 3x + 0=0 

a=2, b=3, c=0 

b^2-4ac (In the next step just plug in your variables) 

3^2 - 4(2)(0) 

9 - 8(0) 

9 - 0 

Your answer=9

6 0

2 years ago