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amm1812
3 years ago
9

A figure is shown.

Mathematics
2 answers:
Artyom0805 [142]3 years ago
7 0

We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,

\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}

So the measure of angle that is highlighted will be 8x = 8(9) = 72°

jonny [76]3 years ago
5 0

Answer:

72.32degrees

x is 9.04

Step-by-step explanation:

7×9.04=63.28

8×9.04=72.32

44.4+63.28+72.32=180

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