THE MEASURE OF TWO ADJACENT ANGLES OF THE PARALLELOGRAM ARE IN THE RATIO OF 3:2. FIND THE MEASURE OF EACH OF THE ANGLES OF THE PARALLELOGRAM

The adjacent angles are: 72 and 108

Step-by-step explanation:

Given

Angle Ratio = 3 : 2

Required

Find the measure of each angle

Let the angles be

Such that:

--- adjacent angles of a parallelogram

and

--- given

Convert to fraction

Cross Multiply:

Make x the subject:

becomes

Take LCM

Recall that:

Hence, the adjacent angles are: 72 and 108

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

hence, the required result is

step-by-step explanation:

suppose we have two matrices a and b

we will assume the two matrices

we have to compute b-a which means subtracting corresponding elements of a from b.

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