Question

80% of an angle is supplementary of 140°. find the angle
with the solution.

Answer 1

Answer:

50

Step-by-step explanation:

Let that angle be x

supplement of 140 = 180 - 140

= 40

so by the condition given in your question we get equation

80 % × x = 40

80/100 × x = 40

x = 40 × 100 /80

x = 50

so the angle is of measure 50

Answer 2

SOLUTION :-

Let the angle be x.

So the supplement of 140° = 180° - 140° = 40°

According to the question,

It is given 80% of supplement of 140° that is 40°.

So we will multiply 80% to x which is equal to 40°.

$\sf{→80\% \times x = 40 \degree}$

$\sf{→\frac{80}{100} \times x = 40 \degree}$

$\sf{→x = 40 \degree \times \frac{100}{80}}$

Canceling the terms,

$\sf{→x = \cancel{40} \degree \times \frac{100}{ \cancel{80}}}$

$\sf{→x = \cancel \frac{100}{2} \degree}$

$\sf →\fbox \green{x = 50 \degree}$

$\therefore$ The angle is of measure 50°.