Question

The measure of two supplementary angles are [2x-20] (x+65)

Answer 1

Answer:

70° and 110°

Step-by-step explanation:

supplementary angle=180°

2x-20+x+65=180

3x+45=180

3x=135

x=45

two angles=70° and 110°

Answer 2

Given :-

• (2x - 20)
• (x + 65°)

To find :-

• Measure of the angles = ?

Solution :-

The sum of angles of supplementary angles = 180°

$\mapsto$ $\sf{2x - 20 \degree + x + 65 \degree = 180 \degree}$

$\mapsto$ $\sf{3x + 45\degree = 180\degree}$

$\mapsto$ $\sf{3x = 180\degree - 45\degree}$

$\mapsto$ $\sf{3x = 135 \degree}$

$\mapsto$ $\sf{x~=~\dfrac{135 \degree}{3}}$

$\mapsto$ $\sf{x~=~45 \degree}$

• The value of x is 45°

The measure of angles :-

• 2x - 20° = 2 × 45° - 20° = 70°
• x + 65° = 45° + 65° = 110°

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Know more :-

• The sum of angles of complementary angles = 90°
• The sum of angles of quadrilateral = 360°
• The sum of angles of triangles = 180°
• The sum of angles of pentagon = 540°