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spin [16.1K]
3 years ago
7

If two angles of a triangle measure 39° and 56°, what is the measure of the third angle? A. 85° B. 55° C. 105° D. 265°

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for third angle

third angle = 180° - (39 + 56)° = 180° - 95° = 85° → A

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Find the measure of each missing angle.
nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

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
2 years ago
Among all rectangles having a perimeter of 25m, find the dimensions of the one with the largest area​
Katen [24]

Answer:

Square with side length 25/4 m

Step-by-step explanation:

The area is always going to be largest for a rectangle when the two dimensions are equal.  You are looking for a square. What square has perimeter 25? 4s=25 so the side length of this rectangle (Square) is 25/4 m.

7 0
3 years ago
Read 2 more answers
I need help please i really need help
zhannawk [14.2K]
Hello there!

Here's what definitions I think match up with each term:

Equilateral triangle: a triangle with three congruent sides
Composite figure: a figure made up of two or more three dimensional figures
Parallelogram: a quadrilateral with opposite sides both parallel and congruent
Volume: the amount of space within a three dimensional figure
Rectangular prism: a three dimensional figure with six rectangular faces, twelve edges, and eight vertices
Regular polygon: a polygon with 5 sides
Triangular prism: a prism with two congruent triangular based
Obtuse triangle: a triangle with one obtuse angle
Face: a flat surface of a three dimensional figure
Polygon: a polygon with congruent sides/congruent angles
Square: a closed figure made up of line segments that do not cross each other

Hope this helped you out! :-)
6 0
3 years ago
Write an equation ​(a) in​ slope-intercept form and ​(b) in standard form for the line passing through ​(22​,99​) and perpendicu
liberstina [14]
Y-99=-1/33(x-22)

a). y = 1/33x + 98 1/3

b) 33y = x + 109 1/3
x - 33y = -109 1/3
5 0
3 years ago
I need this ASAP I only have 10 mins!!!
slamgirl [31]
The answer is the first one
5 0
2 years ago
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